Finding the Third Proportional to 152,725.50 and 253,080

Step by Step Solution

1. Step 1: Write the proportion equation
   152,725.50 : 253,080 = 253,080 : x
2. Step 2: Convert to fraction form
   152,725.50/253,080 = 253,080/x
3. Step 3: Cross multiply
   152,725.50x = 253,080 × 253,080
4. Step 4: Simplify right side
   152,725.50x = 64,049,486,400
5. Step 5: Solve for x
   x = 64,049,486,400/152,725.50
6. Step 6: Final answer
   x = 419,376.50