Finding the Third Proportional to 98,597 and 215,852

Step by Step Solution

1. Step 1: Write the proportion equation
   98,597 : 215,852 = 215,852 : x
2. Step 2: Convert to fraction form
   98,597/215,852 = 215,852/x
3. Step 3: Cross multiply
   98,597x = 215,852 × 215,852
4. Step 4: Simplify right side
   98,597x = 46,592,085,904
5. Step 5: Solve for x
   x = 46,592,085,904/98,597
6. Step 6: Final answer
   x = 472,550.75