Finding the Third Proportional to 414,820 and 886,500

Step by Step Solution

1. Step 1: Write the proportion equation
   414,820 : 886,500 = 886,500 : x
2. Step 2: Convert to fraction form
   414,820/886,500 = 886,500/x
3. Step 3: Cross multiply
   414,820x = 886,500 × 886,500
4. Step 4: Simplify right side
   414,820x = 785,882,250,000
5. Step 5: Solve for x
   x = 785,882,250,000/414,820
6. Step 6: Final answer
   x = 1,894,513.89