Finding the Third Proportional to 402,165 and 884,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,165 : 884,029.50 = 884,029.50 : x
2. Step 2: Convert to fraction form
   402,165/884,029.50 = 884,029.50/x
3. Step 3: Cross multiply
   402,165x = 884,029.50 × 884,029.50
4. Step 4: Simplify right side
   402,165x = 781,508,156,870.25
5. Step 5: Solve for x
   x = 781,508,156,870.25/402,165
6. Step 6: Final answer
   x = 1,943,252.54