Finding the Third Proportional to 402,097.50 and 884,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,097.50 : 884,209.50 = 884,209.50 : x
2. Step 2: Convert to fraction form
   402,097.50/884,209.50 = 884,209.50/x
3. Step 3: Cross multiply
   402,097.50x = 884,209.50 × 884,209.50
4. Step 4: Simplify right side
   402,097.50x = 781,826,439,890.25
5. Step 5: Solve for x
   x = 781,826,439,890.25/402,097.50
6. Step 6: Final answer
   x = 1,944,370.31