Finding the Third Proportional to 155,776 and 233,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,776 : 233,402.50 = 233,402.50 : x
2. Step 2: Convert to fraction form
   155,776/233,402.50 = 233,402.50/x
3. Step 3: Cross multiply
   155,776x = 233,402.50 × 233,402.50
4. Step 4: Simplify right side
   155,776x = 54,476,727,006.25
5. Step 5: Solve for x
   x = 54,476,727,006.25/155,776
6. Step 6: Final answer
   x = 349,711.94