Finding the Third Proportional to 256,230 and 365,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,230 : 365,008.50 = 365,008.50 : x
2. Step 2: Convert to fraction form
   256,230/365,008.50 = 365,008.50/x
3. Step 3: Cross multiply
   256,230x = 365,008.50 × 365,008.50
4. Step 4: Simplify right side
   256,230x = 133,231,205,072.25
5. Step 5: Solve for x
   x = 133,231,205,072.25/256,230
6. Step 6: Final answer
   x = 519,967.24