Finding the Third Proportional to 187.31 and 383.48

Step by Step Solution

1. Step 1: Write the proportion equation
   187.31 : 383.48 = 383.48 : x
2. Step 2: Convert to fraction form
   187.31/383.48 = 383.48/x
3. Step 3: Cross multiply
   187.31x = 383.48 × 383.48
4. Step 4: Simplify right side
   187.31x = 147,060.27
5. Step 5: Solve for x
   x = 147,060.27/187.31
6. Step 6: Final answer
   x = 785.11