Finding the Third Proportional to 45,640 and 98,096

Step by Step Solution

1. Step 1: Write the proportion equation
   45,640 : 98,096 = 98,096 : x
2. Step 2: Convert to fraction form
   45,640/98,096 = 98,096/x
3. Step 3: Cross multiply
   45,640x = 98,096 × 98,096
4. Step 4: Simplify right side
   45,640x = 9,622,825,216
5. Step 5: Solve for x
   x = 9,622,825,216/45,640
6. Step 6: Final answer
   x = 210,841.92