Finding the Third Proportional to 98,536 and 204,076

Step by Step Solution

1. Step 1: Write the proportion equation
   98,536 : 204,076 = 204,076 : x
2. Step 2: Convert to fraction form
   98,536/204,076 = 204,076/x
3. Step 3: Cross multiply
   98,536x = 204,076 × 204,076
4. Step 4: Simplify right side
   98,536x = 41,647,013,776
5. Step 5: Solve for x
   x = 41,647,013,776/98,536
6. Step 6: Final answer
   x = 422,657.85