Finding the Third Proportional to 83,290 and 130,514

Step by Step Solution

1. Step 1: Write the proportion equation
   83,290 : 130,514 = 130,514 : x
2. Step 2: Convert to fraction form
   83,290/130,514 = 130,514/x
3. Step 3: Cross multiply
   83,290x = 130,514 × 130,514
4. Step 4: Simplify right side
   83,290x = 17,033,904,196
5. Step 5: Solve for x
   x = 17,033,904,196/83,290
6. Step 6: Final answer
   x = 204,513.20