Finding the Third Proportional to 185,795 and 408,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,795 : 408,586.50 = 408,586.50 : x
2. Step 2: Convert to fraction form
   185,795/408,586.50 = 408,586.50/x
3. Step 3: Cross multiply
   185,795x = 408,586.50 × 408,586.50
4. Step 4: Simplify right side
   185,795x = 166,942,927,982.25
5. Step 5: Solve for x
   x = 166,942,927,982.25/185,795
6. Step 6: Final answer
   x = 898,532.94