Finding the Third Proportional to 52,138 and 126,025

Step by Step Solution

1. Step 1: Write the proportion equation
   52,138 : 126,025 = 126,025 : x
2. Step 2: Convert to fraction form
   52,138/126,025 = 126,025/x
3. Step 3: Cross multiply
   52,138x = 126,025 × 126,025
4. Step 4: Simplify right side
   52,138x = 15,882,300,625
5. Step 5: Solve for x
   x = 15,882,300,625/52,138
6. Step 6: Final answer
   x = 304,620.44