Finding the Third Proportional to 152,627 and 233,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,627 : 233,477.50 = 233,477.50 : x
2. Step 2: Convert to fraction form
   152,627/233,477.50 = 233,477.50/x
3. Step 3: Cross multiply
   152,627x = 233,477.50 × 233,477.50
4. Step 4: Simplify right side
   152,627x = 54,511,743,006.25
5. Step 5: Solve for x
   x = 54,511,743,006.25/152,627
6. Step 6: Final answer
   x = 357,156.62