Finding the Third Proportional to 71,053 and 109,496

Step by Step Solution

1. Step 1: Write the proportion equation
   71,053 : 109,496 = 109,496 : x
2. Step 2: Convert to fraction form
   71,053/109,496 = 109,496/x
3. Step 3: Cross multiply
   71,053x = 109,496 × 109,496
4. Step 4: Simplify right side
   71,053x = 11,989,374,016
5. Step 5: Solve for x
   x = 11,989,374,016/71,053
6. Step 6: Final answer
   x = 168,738.46