Finding the Third Proportional to 78.63 and 171.31

Step by Step Solution

1. Step 1: Write the proportion equation
   78.63 : 171.31 = 171.31 : x
2. Step 2: Convert to fraction form
   78.63/171.31 = 171.31/x
3. Step 3: Cross multiply
   78.63x = 171.31 × 171.31
4. Step 4: Simplify right side
   78.63x = 29,347.97
5. Step 5: Solve for x
   x = 29,347.97/78.63
6. Step 6: Final answer
   x = 373.27