Finding the Third Proportional to 187.31 and 382.22

Step by Step Solution

1. Step 1: Write the proportion equation
   187.31 : 382.22 = 382.22 : x
2. Step 2: Convert to fraction form
   187.31/382.22 = 382.22/x
3. Step 3: Cross multiply
   187.31x = 382.22 × 382.22
4. Step 4: Simplify right side
   187.31x = 146,091.17
5. Step 5: Solve for x
   x = 146,091.17/187.31
6. Step 6: Final answer
   x = 779.93