Finding the Third Proportional to 76,632 and 162,540

Step by Step Solution

1. Step 1: Write the proportion equation
   76,632 : 162,540 = 162,540 : x
2. Step 2: Convert to fraction form
   76,632/162,540 = 162,540/x
3. Step 3: Cross multiply
   76,632x = 162,540 × 162,540
4. Step 4: Simplify right side
   76,632x = 26,419,251,600
5. Step 5: Solve for x
   x = 26,419,251,600/76,632
6. Step 6: Final answer
   x = 344,754.82