Finding the Third Proportional to 459.50 and 977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   459.50 : 977.25 = 977.25 : x
2. Step 2: Convert to fraction form
   459.50/977.25 = 977.25/x
3. Step 3: Cross multiply
   459.50x = 977.25 × 977.25
4. Step 4: Simplify right side
   459.50x = 955,017.56
5. Step 5: Solve for x
   x = 955,017.56/459.50
6. Step 6: Final answer
   x = 2,078.38