Finding the Third Proportional to 152,705.25 and 233,006.63

Step by Step Solution

1. Step 1: Write the proportion equation
   152,705.25 : 233,006.63 = 233,006.63 : x
2. Step 2: Convert to fraction form
   152,705.25/233,006.63 = 233,006.63/x
3. Step 3: Cross multiply
   152,705.25x = 233,006.63 × 233,006.63
4. Step 4: Simplify right side
   152,705.25x = 54,292,087,293.89
5. Step 5: Solve for x
   x = 54,292,087,293.89/152,705.25
6. Step 6: Final answer
   x = 355,535.17