Finding the Third Proportional to 59,106 and 126,516

Step by Step Solution

1. Step 1: Write the proportion equation
   59,106 : 126,516 = 126,516 : x
2. Step 2: Convert to fraction form
   59,106/126,516 = 126,516/x
3. Step 3: Cross multiply
   59,106x = 126,516 × 126,516
4. Step 4: Simplify right side
   59,106x = 16,006,298,256
5. Step 5: Solve for x
   x = 16,006,298,256/59,106
6. Step 6: Final answer
   x = 270,806.66