Finding the Third Proportional to 45,744 and 98,976

Step by Step Solution

1. Step 1: Write the proportion equation
   45,744 : 98,976 = 98,976 : x
2. Step 2: Convert to fraction form
   45,744/98,976 = 98,976/x
3. Step 3: Cross multiply
   45,744x = 98,976 × 98,976
4. Step 4: Simplify right side
   45,744x = 9,796,248,576
5. Step 5: Solve for x
   x = 9,796,248,576/45,744
6. Step 6: Final answer
   x = 214,153.74