Finding the Third Proportional to 40,698 and 84,514

Step by Step Solution

1. Step 1: Write the proportion equation
   40,698 : 84,514 = 84,514 : x
2. Step 2: Convert to fraction form
   40,698/84,514 = 84,514/x
3. Step 3: Cross multiply
   40,698x = 84,514 × 84,514
4. Step 4: Simplify right side
   40,698x = 7,142,616,196
5. Step 5: Solve for x
   x = 7,142,616,196/40,698
6. Step 6: Final answer
   x = 175,502.88