Finding the Third Proportional to 98,514 and 213,540

Step by Step Solution

1. Step 1: Write the proportion equation
   98,514 : 213,540 = 213,540 : x
2. Step 2: Convert to fraction form
   98,514/213,540 = 213,540/x
3. Step 3: Cross multiply
   98,514x = 213,540 × 213,540
4. Step 4: Simplify right side
   98,514x = 45,599,331,600
5. Step 5: Solve for x
   x = 45,599,331,600/98,514
6. Step 6: Final answer
   x = 462,871.59