Finding the Third Proportional to 78.13 and 171.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.13 : 171.88 = 171.88 : x
2. Step 2: Convert to fraction form
   78.13/171.88 = 171.88/x
3. Step 3: Cross multiply
   78.13x = 171.88 × 171.88
4. Step 4: Simplify right side
   78.13x = 29,541.02
5. Step 5: Solve for x
   x = 29,541.02/78.13
6. Step 6: Final answer
   x = 378.13