Finding the Third Proportional to 98,626 and 215,665

Step by Step Solution

1. Step 1: Write the proportion equation
   98,626 : 215,665 = 215,665 : x
2. Step 2: Convert to fraction form
   98,626/215,665 = 215,665/x
3. Step 3: Cross multiply
   98,626x = 215,665 × 215,665
4. Step 4: Simplify right side
   98,626x = 46,511,392,225
5. Step 5: Solve for x
   x = 46,511,392,225/98,626
6. Step 6: Final answer
   x = 471,593.62