Finding the Third Proportional to 429.38 and 866.63

Step by Step Solution

1. Step 1: Write the proportion equation
   429.38 : 866.63 = 866.63 : x
2. Step 2: Convert to fraction form
   429.38/866.63 = 866.63/x
3. Step 3: Cross multiply
   429.38x = 866.63 × 866.63
4. Step 4: Simplify right side
   429.38x = 751,038.89
5. Step 5: Solve for x
   x = 751,038.89/429.38
6. Step 6: Final answer
   x = 1,749.14