Finding the Third Proportional to 98,567 and 215,792

Step by Step Solution

1. Step 1: Write the proportion equation
   98,567 : 215,792 = 215,792 : x
2. Step 2: Convert to fraction form
   98,567/215,792 = 215,792/x
3. Step 3: Cross multiply
   98,567x = 215,792 × 215,792
4. Step 4: Simplify right side
   98,567x = 46,566,187,264
5. Step 5: Solve for x
   x = 46,566,187,264/98,567
6. Step 6: Final answer
   x = 472,431.82