Finding the Third Proportional to 82,020 and 126,492

Step by Step Solution

1. Step 1: Write the proportion equation
   82,020 : 126,492 = 126,492 : x
2. Step 2: Convert to fraction form
   82,020/126,492 = 126,492/x
3. Step 3: Cross multiply
   82,020x = 126,492 × 126,492
4. Step 4: Simplify right side
   82,020x = 16,000,226,064
5. Step 5: Solve for x
   x = 16,000,226,064/82,020
6. Step 6: Final answer
   x = 195,077.13