Finding the Third Proportional to 185,288.50 and 404,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,288.50 : 404,033.50 = 404,033.50 : x
2. Step 2: Convert to fraction form
   185,288.50/404,033.50 = 404,033.50/x
3. Step 3: Cross multiply
   185,288.50x = 404,033.50 × 404,033.50
4. Step 4: Simplify right side
   185,288.50x = 163,243,069,122.25
5. Step 5: Solve for x
   x = 163,243,069,122.25/185,288.50
6. Step 6: Final answer
   x = 881,021.05