Finding the Third Proportional to 51,539 and 111,892

Step by Step Solution

1. Step 1: Write the proportion equation
   51,539 : 111,892 = 111,892 : x
2. Step 2: Convert to fraction form
   51,539/111,892 = 111,892/x
3. Step 3: Cross multiply
   51,539x = 111,892 × 111,892
4. Step 4: Simplify right side
   51,539x = 12,519,819,664
5. Step 5: Solve for x
   x = 12,519,819,664/51,539
6. Step 6: Final answer
   x = 242,919.34