Finding the Third Proportional to 429.05 and 922.78

Step by Step Solution

1. Step 1: Write the proportion equation
   429.05 : 922.78 = 922.78 : x
2. Step 2: Convert to fraction form
   429.05/922.78 = 922.78/x
3. Step 3: Cross multiply
   429.05x = 922.78 × 922.78
4. Step 4: Simplify right side
   429.05x = 851,525.24
5. Step 5: Solve for x
   x = 851,525.24/429.05
6. Step 6: Final answer
   x = 1,984.69