Finding the Third Proportional to 80,142 and 116,079

Step by Step Solution

1. Step 1: Write the proportion equation
   80,142 : 116,079 = 116,079 : x
2. Step 2: Convert to fraction form
   80,142/116,079 = 116,079/x
3. Step 3: Cross multiply
   80,142x = 116,079 × 116,079
4. Step 4: Simplify right side
   80,142x = 13,474,334,241
5. Step 5: Solve for x
   x = 13,474,334,241/80,142
6. Step 6: Final answer
   x = 168,130.75