Finding the Third Proportional to 137,596.50 and 281,025

Step by Step Solution

1. Step 1: Write the proportion equation
   137,596.50 : 281,025 = 281,025 : x
2. Step 2: Convert to fraction form
   137,596.50/281,025 = 281,025/x
3. Step 3: Cross multiply
   137,596.50x = 281,025 × 281,025
4. Step 4: Simplify right side
   137,596.50x = 78,975,050,625
5. Step 5: Solve for x
   x = 78,975,050,625/137,596.50
6. Step 6: Final answer
   x = 573,961.19