Finding the Third Proportional to 96,688 and 204,976

Step by Step Solution

1. Step 1: Write the proportion equation
   96,688 : 204,976 = 204,976 : x
2. Step 2: Convert to fraction form
   96,688/204,976 = 204,976/x
3. Step 3: Cross multiply
   96,688x = 204,976 × 204,976
4. Step 4: Simplify right side
   96,688x = 42,015,160,576
5. Step 5: Solve for x
   x = 42,015,160,576/96,688
6. Step 6: Final answer
   x = 434,543.69