Finding the Third Proportional to 623.38 and 922.88

Step by Step Solution

1. Step 1: Write the proportion equation
   623.38 : 922.88 = 922.88 : x
2. Step 2: Convert to fraction form
   623.38/922.88 = 922.88/x
3. Step 3: Cross multiply
   623.38x = 922.88 × 922.88
4. Step 4: Simplify right side
   623.38x = 851,698.27
5. Step 5: Solve for x
   x = 851,698.27/623.38
6. Step 6: Final answer
   x = 1,366.27