Finding the Third Proportional to 152,374.50 and 232,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,374.50 : 232,429.50 = 232,429.50 : x
2. Step 2: Convert to fraction form
   152,374.50/232,429.50 = 232,429.50/x
3. Step 3: Cross multiply
   152,374.50x = 232,429.50 × 232,429.50
4. Step 4: Simplify right side
   152,374.50x = 54,023,472,470.25
5. Step 5: Solve for x
   x = 54,023,472,470.25/152,374.50
6. Step 6: Final answer
   x = 354,544.05