Finding the Third Proportional to 78.43 and 169.00

Step by Step Solution

1. Step 1: Write the proportion equation
   78.43 : 169.00 = 169.00 : x
2. Step 2: Convert to fraction form
   78.43/169.00 = 169.00/x
3. Step 3: Cross multiply
   78.43x = 169.00 × 169.00
4. Step 4: Simplify right side
   78.43x = 28,559.68
5. Step 5: Solve for x
   x = 28,559.68/78.43
6. Step 6: Final answer
   x = 364.13