Finding the Third Proportional to 314.63 and 472.22

Step by Step Solution

1. Step 1: Write the proportion equation
   314.63 : 472.22 = 472.22 : x
2. Step 2: Convert to fraction form
   314.63/472.22 = 472.22/x
3. Step 3: Cross multiply
   314.63x = 472.22 × 472.22
4. Step 4: Simplify right side
   314.63x = 222,990.55
5. Step 5: Solve for x
   x = 222,990.55/314.63
6. Step 6: Final answer
   x = 708.75