Finding the Third Proportional to 51,992 and 113,882

Step by Step Solution

1. Step 1: Write the proportion equation
   51,992 : 113,882 = 113,882 : x
2. Step 2: Convert to fraction form
   51,992/113,882 = 113,882/x
3. Step 3: Cross multiply
   51,992x = 113,882 × 113,882
4. Step 4: Simplify right side
   51,992x = 12,969,109,924
5. Step 5: Solve for x
   x = 12,969,109,924/51,992
6. Step 6: Final answer
   x = 249,444.34