Finding the Third Proportional to 152,661 and 233,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,661 : 233,524.50 = 233,524.50 : x
2. Step 2: Convert to fraction form
   152,661/233,524.50 = 233,524.50/x
3. Step 3: Cross multiply
   152,661x = 233,524.50 × 233,524.50
4. Step 4: Simplify right side
   152,661x = 54,533,692,100.25
5. Step 5: Solve for x
   x = 54,533,692,100.25/152,661
6. Step 6: Final answer
   x = 357,220.85