Finding the Third Proportional to 176.86 and 389.72

Step by Step Solution

1. Step 1: Write the proportion equation
   176.86 : 389.72 = 389.72 : x
2. Step 2: Convert to fraction form
   176.86/389.72 = 389.72/x
3. Step 3: Cross multiply
   176.86x = 389.72 × 389.72
4. Step 4: Simplify right side
   176.86x = 151,880.70
5. Step 5: Solve for x
   x = 151,880.70/176.86
6. Step 6: Final answer
   x = 858.77