Finding the Third Proportional to 187.31 and 410.06

Step by Step Solution

1. Step 1: Write the proportion equation
   187.31 : 410.06 = 410.06 : x
2. Step 2: Convert to fraction form
   187.31/410.06 = 410.06/x
3. Step 3: Cross multiply
   187.31x = 410.06 × 410.06
4. Step 4: Simplify right side
   187.31x = 168,151.25
5. Step 5: Solve for x
   x = 168,151.25/187.31
6. Step 6: Final answer
   x = 897.70