Finding the Third Proportional to 314.13 and 477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   314.13 : 477.69 = 477.69 : x
2. Step 2: Convert to fraction form
   314.13/477.69 = 477.69/x
3. Step 3: Cross multiply
   314.13x = 477.69 × 477.69
4. Step 4: Simplify right side
   314.13x = 228,185.35
5. Step 5: Solve for x
   x = 228,185.35/314.13
6. Step 6: Final answer
   x = 726.42