Finding the Third Proportional to 185,234.50 and 404,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,234.50 : 404,718.50 = 404,718.50 : x
2. Step 2: Convert to fraction form
   185,234.50/404,718.50 = 404,718.50/x
3. Step 3: Cross multiply
   185,234.50x = 404,718.50 × 404,718.50
4. Step 4: Simplify right side
   185,234.50x = 163,797,064,242.25
5. Step 5: Solve for x
   x = 163,797,064,242.25/185,234.50
6. Step 6: Final answer
   x = 884,268.67