Finding the Third Proportional to 632.91 and 946.83

Step by Step Solution

1. Step 1: Write the proportion equation
   632.91 : 946.83 = 946.83 : x
2. Step 2: Convert to fraction form
   632.91/946.83 = 946.83/x
3. Step 3: Cross multiply
   632.91x = 946.83 × 946.83
4. Step 4: Simplify right side
   632.91x = 896,483.50
5. Step 5: Solve for x
   x = 896,483.50/632.91
6. Step 6: Final answer
   x = 1,416.46