Finding the Third Proportional to 51,782 and 112,026

Step by Step Solution

1. Step 1: Write the proportion equation
   51,782 : 112,026 = 112,026 : x
2. Step 2: Convert to fraction form
   51,782/112,026 = 112,026/x
3. Step 3: Cross multiply
   51,782x = 112,026 × 112,026
4. Step 4: Simplify right side
   51,782x = 12,549,824,676
5. Step 5: Solve for x
   x = 12,549,824,676/51,782
6. Step 6: Final answer
   x = 242,358.82