Finding the Third Proportional to 83,034 and 116,514

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 116,514 = 116,514 : x
2. Step 2: Convert to fraction form
   83,034/116,514 = 116,514/x
3. Step 3: Cross multiply
   83,034x = 116,514 × 116,514
4. Step 4: Simplify right side
   83,034x = 13,575,512,196
5. Step 5: Solve for x
   x = 13,575,512,196/83,034
6. Step 6: Final answer
   x = 163,493.41