Finding the Third Proportional to 386,469 and 826,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,469 : 826,006.50 = 826,006.50 : x
2. Step 2: Convert to fraction form
   386,469/826,006.50 = 826,006.50/x
3. Step 3: Cross multiply
   386,469x = 826,006.50 × 826,006.50
4. Step 4: Simplify right side
   386,469x = 682,286,738,042.25
5. Step 5: Solve for x
   x = 682,286,738,042.25/386,469
6. Step 6: Final answer
   x = 1,765,437.17