Finding the Third Proportional to 59,416 and 126,850

Step by Step Solution

1. Step 1: Write the proportion equation
   59,416 : 126,850 = 126,850 : x
2. Step 2: Convert to fraction form
   59,416/126,850 = 126,850/x
3. Step 3: Cross multiply
   59,416x = 126,850 × 126,850
4. Step 4: Simplify right side
   59,416x = 16,090,922,500
5. Step 5: Solve for x
   x = 16,090,922,500/59,416
6. Step 6: Final answer
   x = 270,818.00