Finding the Third Proportional to 457.88 and 976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   457.88 : 976.50 = 976.50 : x
2. Step 2: Convert to fraction form
   457.88/976.50 = 976.50/x
3. Step 3: Cross multiply
   457.88x = 976.50 × 976.50
4. Step 4: Simplify right side
   457.88x = 953,552.25
5. Step 5: Solve for x
   x = 953,552.25/457.88
6. Step 6: Final answer
   x = 2,082.56