Finding the Third Proportional to 429.19 and 607.69

Step by Step Solution

1. Step 1: Write the proportion equation
   429.19 : 607.69 = 607.69 : x
2. Step 2: Convert to fraction form
   429.19/607.69 = 607.69/x
3. Step 3: Cross multiply
   429.19x = 607.69 × 607.69
4. Step 4: Simplify right side
   429.19x = 369,284.10
5. Step 5: Solve for x
   x = 369,284.10/429.19
6. Step 6: Final answer
   x = 860.43