Finding the Third Proportional to 500,585 and 1,036,658

Step by Step Solution

1. Step 1: Write the proportion equation
   500,585 : 1,036,658 = 1,036,658 : x
2. Step 2: Convert to fraction form
   500,585/1,036,658 = 1,036,658/x
3. Step 3: Cross multiply
   500,585x = 1,036,658 × 1,036,658
4. Step 4: Simplify right side
   500,585x = 1,074,659,808,964
5. Step 5: Solve for x
   x = 1,074,659,808,964/500,585
6. Step 6: Final answer
   x = 2,146,807.85