Finding the Third Proportional to 77.63 and 168.47

Step by Step Solution

1. Step 1: Write the proportion equation
   77.63 : 168.47 = 168.47 : x
2. Step 2: Convert to fraction form
   77.63/168.47 = 168.47/x
3. Step 3: Cross multiply
   77.63x = 168.47 × 168.47
4. Step 4: Simplify right side
   77.63x = 28,381.72
5. Step 5: Solve for x
   x = 28,381.72/77.63
6. Step 6: Final answer
   x = 365.63