Finding the Third Proportional to 429.75 and 631.69

Step by Step Solution

1. Step 1: Write the proportion equation
   429.75 : 631.69 = 631.69 : x
2. Step 2: Convert to fraction form
   429.75/631.69 = 631.69/x
3. Step 3: Cross multiply
   429.75x = 631.69 × 631.69
4. Step 4: Simplify right side
   429.75x = 399,029.10
5. Step 5: Solve for x
   x = 399,029.10/429.75
6. Step 6: Final answer
   x = 928.51