Finding the Third Proportional to 98,596 and 215,850

Step by Step Solution

1. Step 1: Write the proportion equation
   98,596 : 215,850 = 215,850 : x
2. Step 2: Convert to fraction form
   98,596/215,850 = 215,850/x
3. Step 3: Cross multiply
   98,596x = 215,850 × 215,850
4. Step 4: Simplify right side
   98,596x = 46,591,222,500
5. Step 5: Solve for x
   x = 46,591,222,500/98,596
6. Step 6: Final answer
   x = 472,546.78