Finding the Third Proportional to 476.25 and 712.25

Step by Step Solution

1. Step 1: Write the proportion equation
   476.25 : 712.25 = 712.25 : x
2. Step 2: Convert to fraction form
   476.25/712.25 = 712.25/x
3. Step 3: Cross multiply
   476.25x = 712.25 × 712.25
4. Step 4: Simplify right side
   476.25x = 507,300.06
5. Step 5: Solve for x
   x = 507,300.06/476.25
6. Step 6: Final answer
   x = 1,065.20