Finding the Third Proportional to 98,191 and 215,498

Step by Step Solution

1. Step 1: Write the proportion equation
   98,191 : 215,498 = 215,498 : x
2. Step 2: Convert to fraction form
   98,191/215,498 = 215,498/x
3. Step 3: Cross multiply
   98,191x = 215,498 × 215,498
4. Step 4: Simplify right side
   98,191x = 46,439,388,004
5. Step 5: Solve for x
   x = 46,439,388,004/98,191
6. Step 6: Final answer
   x = 472,949.54