Finding the Third Proportional to 152,530.50 and 231,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,530.50 : 231,905.50 = 231,905.50 : x
2. Step 2: Convert to fraction form
   152,530.50/231,905.50 = 231,905.50/x
3. Step 3: Cross multiply
   152,530.50x = 231,905.50 × 231,905.50
4. Step 4: Simplify right side
   152,530.50x = 53,780,160,930.25
5. Step 5: Solve for x
   x = 53,780,160,930.25/152,530.50
6. Step 6: Final answer
   x = 352,586.28