Finding the Third Proportional to 168.38 and 370.88

Step by Step Solution

1. Step 1: Write the proportion equation
   168.38 : 370.88 = 370.88 : x
2. Step 2: Convert to fraction form
   168.38/370.88 = 370.88/x
3. Step 3: Cross multiply
   168.38x = 370.88 × 370.88
4. Step 4: Simplify right side
   168.38x = 137,548.27
5. Step 5: Solve for x
   x = 137,548.27/168.38
6. Step 6: Final answer
   x = 816.92