Finding the Third Proportional to 80,514 and 116,127

Step by Step Solution

1. Step 1: Write the proportion equation
   80,514 : 116,127 = 116,127 : x
2. Step 2: Convert to fraction form
   80,514/116,127 = 116,127/x
3. Step 3: Cross multiply
   80,514x = 116,127 × 116,127
4. Step 4: Simplify right side
   80,514x = 13,485,480,129
5. Step 5: Solve for x
   x = 13,485,480,129/80,514
6. Step 6: Final answer
   x = 167,492.36