Finding the Third Proportional to 72,882 and 109,548

Step by Step Solution

1. Step 1: Write the proportion equation
   72,882 : 109,548 = 109,548 : x
2. Step 2: Convert to fraction form
   72,882/109,548 = 109,548/x
3. Step 3: Cross multiply
   72,882x = 109,548 × 109,548
4. Step 4: Simplify right side
   72,882x = 12,000,764,304
5. Step 5: Solve for x
   x = 12,000,764,304/72,882
6. Step 6: Final answer
   x = 164,660.19