Finding the Third Proportional to 454.91 and 974.69

Step by Step Solution

1. Step 1: Write the proportion equation
   454.91 : 974.69 = 974.69 : x
2. Step 2: Convert to fraction form
   454.91/974.69 = 974.69/x
3. Step 3: Cross multiply
   454.91x = 974.69 × 974.69
4. Step 4: Simplify right side
   454.91x = 950,015.72
5. Step 5: Solve for x
   x = 950,015.72/454.91
6. Step 6: Final answer
   x = 2,088.38