Finding the Third Proportional to 98,527 and 204,061

Step by Step Solution

1. Step 1: Write the proportion equation
   98,527 : 204,061 = 204,061 : x
2. Step 2: Convert to fraction form
   98,527/204,061 = 204,061/x
3. Step 3: Cross multiply
   98,527x = 204,061 × 204,061
4. Step 4: Simplify right side
   98,527x = 41,640,891,721
5. Step 5: Solve for x
   x = 41,640,891,721/98,527
6. Step 6: Final answer
   x = 422,634.32