Finding the Third Proportional to 413,838 and 886,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,838 : 886,711.50 = 886,711.50 : x
2. Step 2: Convert to fraction form
   413,838/886,711.50 = 886,711.50/x
3. Step 3: Cross multiply
   413,838x = 886,711.50 × 886,711.50
4. Step 4: Simplify right side
   413,838x = 786,257,284,232.25
5. Step 5: Solve for x
   x = 786,257,284,232.25/413,838
6. Step 6: Final answer
   x = 1,899,915.63