Finding the Third Proportional to 98,509 and 204,025

Step by Step Solution

1. Step 1: Write the proportion equation
   98,509 : 204,025 = 204,025 : x
2. Step 2: Convert to fraction form
   98,509/204,025 = 204,025/x
3. Step 3: Cross multiply
   98,509x = 204,025 × 204,025
4. Step 4: Simplify right side
   98,509x = 41,626,200,625
5. Step 5: Solve for x
   x = 41,626,200,625/98,509
6. Step 6: Final answer
   x = 422,562.41