Finding the Third Proportional to 98,196 and 215,508

Step by Step Solution

1. Step 1: Write the proportion equation
   98,196 : 215,508 = 215,508 : x
2. Step 2: Convert to fraction form
   98,196/215,508 = 215,508/x
3. Step 3: Cross multiply
   98,196x = 215,508 × 215,508
4. Step 4: Simplify right side
   98,196x = 46,443,698,064
5. Step 5: Solve for x
   x = 46,443,698,064/98,196
6. Step 6: Final answer
   x = 472,969.35