Finding the Third Proportional to 167.06 and 359.86

Step by Step Solution

1. Step 1: Write the proportion equation
   167.06 : 359.86 = 359.86 : x
2. Step 2: Convert to fraction form
   167.06/359.86 = 359.86/x
3. Step 3: Cross multiply
   167.06x = 359.86 × 359.86
4. Step 4: Simplify right side
   167.06x = 129,498.77
5. Step 5: Solve for x
   x = 129,498.77/167.06
6. Step 6: Final answer
   x = 775.15