Finding the Third Proportional to 96,141 and 204,792

Step by Step Solution

1. Step 1: Write the proportion equation
   96,141 : 204,792 = 204,792 : x
2. Step 2: Convert to fraction form
   96,141/204,792 = 204,792/x
3. Step 3: Cross multiply
   96,141x = 204,792 × 204,792
4. Step 4: Simplify right side
   96,141x = 41,939,763,264
5. Step 5: Solve for x
   x = 41,939,763,264/96,141
6. Step 6: Final answer
   x = 436,231.82