Finding the Third Proportional to 82,578 and 126,530

Step by Step Solution

1. Step 1: Write the proportion equation
   82,578 : 126,530 = 126,530 : x
2. Step 2: Convert to fraction form
   82,578/126,530 = 126,530/x
3. Step 3: Cross multiply
   82,578x = 126,530 × 126,530
4. Step 4: Simplify right side
   82,578x = 16,009,840,900
5. Step 5: Solve for x
   x = 16,009,840,900/82,578
6. Step 6: Final answer
   x = 193,875.38