Finding the Third Proportional to 185,727 and 278,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,727 : 278,593.50 = 278,593.50 : x
2. Step 2: Convert to fraction form
   185,727/278,593.50 = 278,593.50/x
3. Step 3: Cross multiply
   185,727x = 278,593.50 × 278,593.50
4. Step 4: Simplify right side
   185,727x = 77,614,338,242.25
5. Step 5: Solve for x
   x = 77,614,338,242.25/185,727
6. Step 6: Final answer
   x = 417,894.75