Finding the Third Proportional to 83,682 and 117,314

Step by Step Solution

1. Step 1: Write the proportion equation
   83,682 : 117,314 = 117,314 : x
2. Step 2: Convert to fraction form
   83,682/117,314 = 117,314/x
3. Step 3: Cross multiply
   83,682x = 117,314 × 117,314
4. Step 4: Simplify right side
   83,682x = 13,762,574,596
5. Step 5: Solve for x
   x = 13,762,574,596/83,682
6. Step 6: Final answer
   x = 164,462.78