Finding the Third Proportional to 72,582 and 109,966

Step by Step Solution

1. Step 1: Write the proportion equation
   72,582 : 109,966 = 109,966 : x
2. Step 2: Convert to fraction form
   72,582/109,966 = 109,966/x
3. Step 3: Cross multiply
   72,582x = 109,966 × 109,966
4. Step 4: Simplify right side
   72,582x = 12,092,521,156
5. Step 5: Solve for x
   x = 12,092,521,156/72,582
6. Step 6: Final answer
   x = 166,604.96