Finding the Third Proportional to 187.59 and 410.34

Step by Step Solution

1. Step 1: Write the proportion equation
   187.59 : 410.34 = 410.34 : x
2. Step 2: Convert to fraction form
   187.59/410.34 = 410.34/x
3. Step 3: Cross multiply
   187.59x = 410.34 × 410.34
4. Step 4: Simplify right side
   187.59x = 168,381.99
5. Step 5: Solve for x
   x = 168,381.99/187.59
6. Step 6: Final answer
   x = 897.59