Finding the Third Proportional to 82,582 and 126,536

Step by Step Solution

1. Step 1: Write the proportion equation
   82,582 : 126,536 = 126,536 : x
2. Step 2: Convert to fraction form
   82,582/126,536 = 126,536/x
3. Step 3: Cross multiply
   82,582x = 126,536 × 126,536
4. Step 4: Simplify right side
   82,582x = 16,011,359,296
5. Step 5: Solve for x
   x = 16,011,359,296/82,582
6. Step 6: Final answer
   x = 193,884.37