Finding the Third Proportional to 429.75 and 615.38

Step by Step Solution

1. Step 1: Write the proportion equation
   429.75 : 615.38 = 615.38 : x
2. Step 2: Convert to fraction form
   429.75/615.38 = 615.38/x
3. Step 3: Cross multiply
   429.75x = 615.38 × 615.38
4. Step 4: Simplify right side
   429.75x = 378,686.39
5. Step 5: Solve for x
   x = 378,686.39/429.75
6. Step 6: Final answer
   x = 881.18