Finding the Third Proportional to 179.72 and 386.02

Step by Step Solution

1. Step 1: Write the proportion equation
   179.72 : 386.02 = 386.02 : x
2. Step 2: Convert to fraction form
   179.72/386.02 = 386.02/x
3. Step 3: Cross multiply
   179.72x = 386.02 × 386.02
4. Step 4: Simplify right side
   179.72x = 149,008.06
5. Step 5: Solve for x
   x = 149,008.06/179.72
6. Step 6: Final answer
   x = 829.12