Finding the Third Proportional to 256,932 and 365,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,932 : 365,188.50 = 365,188.50 : x
2. Step 2: Convert to fraction form
   256,932/365,188.50 = 365,188.50/x
3. Step 3: Cross multiply
   256,932x = 365,188.50 × 365,188.50
4. Step 4: Simplify right side
   256,932x = 133,362,640,532.25
5. Step 5: Solve for x
   x = 133,362,640,532.25/256,932
6. Step 6: Final answer
   x = 519,058.12