Finding the Third Proportional to 81,872 and 126,426

Step by Step Solution

1. Step 1: Write the proportion equation
   81,872 : 126,426 = 126,426 : x
2. Step 2: Convert to fraction form
   81,872/126,426 = 126,426/x
3. Step 3: Cross multiply
   81,872x = 126,426 × 126,426
4. Step 4: Simplify right side
   81,872x = 15,983,533,476
5. Step 5: Solve for x
   x = 15,983,533,476/81,872
6. Step 6: Final answer
   x = 195,225.88