Finding the Third Proportional to 152,649 and 233,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,649 : 233,506.50 = 233,506.50 : x
2. Step 2: Convert to fraction form
   152,649/233,506.50 = 233,506.50/x
3. Step 3: Cross multiply
   152,649x = 233,506.50 × 233,506.50
4. Step 4: Simplify right side
   152,649x = 54,525,285,542.25
5. Step 5: Solve for x
   x = 54,525,285,542.25/152,649
6. Step 6: Final answer
   x = 357,193.86