Finding the Third Proportional to 78.88 and 169.63

Step by Step Solution

1. Step 1: Write the proportion equation
   78.88 : 169.63 = 169.63 : x
2. Step 2: Convert to fraction form
   78.88/169.63 = 169.63/x
3. Step 3: Cross multiply
   78.88x = 169.63 × 169.63
4. Step 4: Simplify right side
   78.88x = 28,772.64
5. Step 5: Solve for x
   x = 28,772.64/78.88
6. Step 6: Final answer
   x = 364.79