Finding the Third Proportional to 182,496 and 390,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,496 : 390,212.50 = 390,212.50 : x
2. Step 2: Convert to fraction form
   182,496/390,212.50 = 390,212.50/x
3. Step 3: Cross multiply
   182,496x = 390,212.50 × 390,212.50
4. Step 4: Simplify right side
   182,496x = 152,265,795,156.25
5. Step 5: Solve for x
   x = 152,265,795,156.25/182,496
6. Step 6: Final answer
   x = 834,351.41