Finding the Third Proportional to 78.63 and 169.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.63 : 169.25 = 169.25 : x
2. Step 2: Convert to fraction form
   78.63/169.25 = 169.25/x
3. Step 3: Cross multiply
   78.63x = 169.25 × 169.25
4. Step 4: Simplify right side
   78.63x = 28,645.56
5. Step 5: Solve for x
   x = 28,645.56/78.63
6. Step 6: Final answer
   x = 364.33