Finding the Third Proportional to 71,705 and 113,885

Step by Step Solution

1. Step 1: Write the proportion equation
   71,705 : 113,885 = 113,885 : x
2. Step 2: Convert to fraction form
   71,705/113,885 = 113,885/x
3. Step 3: Cross multiply
   71,705x = 113,885 × 113,885
4. Step 4: Simplify right side
   71,705x = 12,969,793,225
5. Step 5: Solve for x
   x = 12,969,793,225/71,705
6. Step 6: Final answer
   x = 180,877.11