Finding the Third Proportional to 59,242 and 126,156

Step by Step Solution

1. Step 1: Write the proportion equation
   59,242 : 126,156 = 126,156 : x
2. Step 2: Convert to fraction form
   59,242/126,156 = 126,156/x
3. Step 3: Cross multiply
   59,242x = 126,156 × 126,156
4. Step 4: Simplify right side
   59,242x = 15,915,336,336
5. Step 5: Solve for x
   x = 15,915,336,336/59,242
6. Step 6: Final answer
   x = 268,649.54