Finding the Third Proportional to 476.86 and 712.83

Step by Step Solution

1. Step 1: Write the proportion equation
   476.86 : 712.83 = 712.83 : x
2. Step 2: Convert to fraction form
   476.86/712.83 = 712.83/x
3. Step 3: Cross multiply
   476.86x = 712.83 × 712.83
4. Step 4: Simplify right side
   476.86x = 508,123.94
5. Step 5: Solve for x
   x = 508,123.94/476.86
6. Step 6: Final answer
   x = 1,065.56