Finding the Third Proportional to 81,592 and 126,078

Step by Step Solution

1. Step 1: Write the proportion equation
   81,592 : 126,078 = 126,078 : x
2. Step 2: Convert to fraction form
   81,592/126,078 = 126,078/x
3. Step 3: Cross multiply
   81,592x = 126,078 × 126,078
4. Step 4: Simplify right side
   81,592x = 15,895,662,084
5. Step 5: Solve for x
   x = 15,895,662,084/81,592
6. Step 6: Final answer
   x = 194,818.88