Finding the Third Proportional to 149,827,713,667.50 and 216,475,172,807.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149,827,713,667.50 : 216,475,172,807.25 = 216,475,172,807.25 : x
2. Step 2: Convert to fraction form
   149,827,713,667.50/216,475,172,807.25 = 216,475,172,807.25/x
3. Step 3: Cross multiply
   149,827,713,667.50x = 216,475,172,807.25 × 216,475,172,807.25
4. Step 4: Simplify right side
   149,827,713,667.50x = 46,861,500,441,928,751,120,384
5. Step 5: Solve for x
   x = 46,861,500,441,928,751,120,384/149,827,713,667.50
6. Step 6: Final answer
   x = 312,769,242,050.40