Finding the Third Proportional to 401,947.31 and 862,174.69

Step by Step Solution

1. Step 1: Write the proportion equation
   401,947.31 : 862,174.69 = 862,174.69 : x
2. Step 2: Convert to fraction form
   401,947.31/862,174.69 = 862,174.69/x
3. Step 3: Cross multiply
   401,947.31x = 862,174.69 × 862,174.69
4. Step 4: Simplify right side
   401,947.31x = 743,345,191,765.72
5. Step 5: Solve for x
   x = 743,345,191,765.72/401,947.31
6. Step 6: Final answer
   x = 1,849,359.78