Finding the Third Proportional to 149,827,713,618 and 216,475,172,743

Step by Step Solution

1. Step 1: Write the proportion equation
   149,827,713,618 : 216,475,172,743 = 216,475,172,743 : x
2. Step 2: Convert to fraction form
   149,827,713,618/216,475,172,743 = 216,475,172,743/x
3. Step 3: Cross multiply
   149,827,713,618x = 216,475,172,743 × 216,475,172,743
4. Step 4: Simplify right side
   149,827,713,618x = 46,861,500,414,111,690,784,768
5. Step 5: Solve for x
   x = 46,861,500,414,111,690,784,768/149,827,713,618
6. Step 6: Final answer
   x = 312,769,241,968.08