Finding the Third Proportional to 402,409.50 and 837,876

Step by Step Solution

1. Step 1: Write the proportion equation
   402,409.50 : 837,876 = 837,876 : x
2. Step 2: Convert to fraction form
   402,409.50/837,876 = 837,876/x
3. Step 3: Cross multiply
   402,409.50x = 837,876 × 837,876
4. Step 4: Simplify right side
   402,409.50x = 702,036,191,376
5. Step 5: Solve for x
   x = 702,036,191,376/402,409.50
6. Step 6: Final answer
   x = 1,744,581.56