Finding the Third Proportional to 52,040 and 114,448

Step by Step Solution

1. Step 1: Write the proportion equation
   52,040 : 114,448 = 114,448 : x
2. Step 2: Convert to fraction form
   52,040/114,448 = 114,448/x
3. Step 3: Cross multiply
   52,040x = 114,448 × 114,448
4. Step 4: Simplify right side
   52,040x = 13,098,344,704
5. Step 5: Solve for x
   x = 13,098,344,704/52,040
6. Step 6: Final answer
   x = 251,697.63