Finding the Third Proportional to 185,269.50 and 404,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,269.50 : 404,437.50 = 404,437.50 : x
2. Step 2: Convert to fraction form
   185,269.50/404,437.50 = 404,437.50/x
3. Step 3: Cross multiply
   185,269.50x = 404,437.50 × 404,437.50
4. Step 4: Simplify right side
   185,269.50x = 163,569,691,406.25
5. Step 5: Solve for x
   x = 163,569,691,406.25/185,269.50
6. Step 6: Final answer
   x = 882,874.36