Finding the Third Proportional to 185.63 and 400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 400.50 = 400.50 : x
2. Step 2: Convert to fraction form
   185.63/400.50 = 400.50/x
3. Step 3: Cross multiply
   185.63x = 400.50 × 400.50
4. Step 4: Simplify right side
   185.63x = 160,400.25
5. Step 5: Solve for x
   x = 160,400.25/185.63
6. Step 6: Final answer
   x = 864.11