Finding the Third Proportional to 430.78 and 928.78

Step by Step Solution

1. Step 1: Write the proportion equation
   430.78 : 928.78 = 928.78 : x
2. Step 2: Convert to fraction form
   430.78/928.78 = 928.78/x
3. Step 3: Cross multiply
   430.78x = 928.78 × 928.78
4. Step 4: Simplify right side
   430.78x = 862,634.61
5. Step 5: Solve for x
   x = 862,634.61/430.78
6. Step 6: Final answer
   x = 2,002.49