Finding the Third Proportional to 78.63 and 168.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.63 : 168.88 = 168.88 : x
2. Step 2: Convert to fraction form
   78.63/168.88 = 168.88/x
3. Step 3: Cross multiply
   78.63x = 168.88 × 168.88
4. Step 4: Simplify right side
   78.63x = 28,518.77
5. Step 5: Solve for x
   x = 28,518.77/78.63
6. Step 6: Final answer
   x = 362.72