Finding the Third Proportional to 200,488.50 and 282,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,488.50 : 282,082.50 = 282,082.50 : x
2. Step 2: Convert to fraction form
   200,488.50/282,082.50 = 282,082.50/x
3. Step 3: Cross multiply
   200,488.50x = 282,082.50 × 282,082.50
4. Step 4: Simplify right side
   200,488.50x = 79,570,536,806.25
5. Step 5: Solve for x
   x = 79,570,536,806.25/200,488.50
6. Step 6: Final answer
   x = 396,883.30