Finding the Third Proportional to 78.48 and 168.35

Step by Step Solution

1. Step 1: Write the proportion equation
   78.48 : 168.35 = 168.35 : x
2. Step 2: Convert to fraction form
   78.48/168.35 = 168.35/x
3. Step 3: Cross multiply
   78.48x = 168.35 × 168.35
4. Step 4: Simplify right side
   78.48x = 28,342.25
5. Step 5: Solve for x
   x = 28,342.25/78.48
6. Step 6: Final answer
   x = 361.14