Finding the Third Proportional to 165.47 and 359.72

Step by Step Solution

1. Step 1: Write the proportion equation
   165.47 : 359.72 = 359.72 : x
2. Step 2: Convert to fraction form
   165.47/359.72 = 359.72/x
3. Step 3: Cross multiply
   165.47x = 359.72 × 359.72
4. Step 4: Simplify right side
   165.47x = 129,397.58
5. Step 5: Solve for x
   x = 129,397.58/165.47
6. Step 6: Final answer
   x = 782.01