Finding the Third Proportional to 413,802 and 886,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,802 : 886,639.50 = 886,639.50 : x
2. Step 2: Convert to fraction form
   413,802/886,639.50 = 886,639.50/x
3. Step 3: Cross multiply
   413,802x = 886,639.50 × 886,639.50
4. Step 4: Simplify right side
   413,802x = 786,129,602,960.25
5. Step 5: Solve for x
   x = 786,129,602,960.25/413,802
6. Step 6: Final answer
   x = 1,899,772.36