Finding the Third Proportional to 404,803.50 and 594,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,803.50 : 594,082.50 = 594,082.50 : x
2. Step 2: Convert to fraction form
   404,803.50/594,082.50 = 594,082.50/x
3. Step 3: Cross multiply
   404,803.50x = 594,082.50 × 594,082.50
4. Step 4: Simplify right side
   404,803.50x = 352,934,016,806.25
5. Step 5: Solve for x
   x = 352,934,016,806.25/404,803.50
6. Step 6: Final answer
   x = 871,865.03