Finding the Third Proportional to 187.50 and 404.91

Step by Step Solution

1. Step 1: Write the proportion equation
   187.50 : 404.91 = 404.91 : x
2. Step 2: Convert to fraction form
   187.50/404.91 = 404.91/x
3. Step 3: Cross multiply
   187.50x = 404.91 × 404.91
4. Step 4: Simplify right side
   187.50x = 163,949.07
5. Step 5: Solve for x
   x = 163,949.07/187.50
6. Step 6: Final answer
   x = 874.40