Finding the Third Proportional to 187.41 and 410.86

Step by Step Solution

1. Step 1: Write the proportion equation
   187.41 : 410.86 = 410.86 : x
2. Step 2: Convert to fraction form
   187.41/410.86 = 410.86/x
3. Step 3: Cross multiply
   187.41x = 410.86 × 410.86
4. Step 4: Simplify right side
   187.41x = 168,808.74
5. Step 5: Solve for x
   x = 168,808.74/187.41
6. Step 6: Final answer
   x = 900.74