Finding the Third Proportional to 98,648 and 215,748

Step by Step Solution

1. Step 1: Write the proportion equation
   98,648 : 215,748 = 215,748 : x
2. Step 2: Convert to fraction form
   98,648/215,748 = 215,748/x
3. Step 3: Cross multiply
   98,648x = 215,748 × 215,748
4. Step 4: Simplify right side
   98,648x = 46,547,199,504
5. Step 5: Solve for x
   x = 46,547,199,504/98,648
6. Step 6: Final answer
   x = 471,851.43