Finding the Third Proportional to 152,901 and 233,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,901 : 233,743.50 = 233,743.50 : x
2. Step 2: Convert to fraction form
   152,901/233,743.50 = 233,743.50/x
3. Step 3: Cross multiply
   152,901x = 233,743.50 × 233,743.50
4. Step 4: Simplify right side
   152,901x = 54,636,023,792.25
5. Step 5: Solve for x
   x = 54,636,023,792.25/152,901
6. Step 6: Final answer
   x = 357,329.41