Finding the Third Proportional to 82,521 and 123,966

Step by Step Solution

1. Step 1: Write the proportion equation
   82,521 : 123,966 = 123,966 : x
2. Step 2: Convert to fraction form
   82,521/123,966 = 123,966/x
3. Step 3: Cross multiply
   82,521x = 123,966 × 123,966
4. Step 4: Simplify right side
   82,521x = 15,367,569,156
5. Step 5: Solve for x
   x = 15,367,569,156/82,521
6. Step 6: Final answer
   x = 186,226.16