Finding the Third Proportional to 500,586 and 1,036,657

Step by Step Solution

1. Step 1: Write the proportion equation
   500,586 : 1,036,657 = 1,036,657 : x
2. Step 2: Convert to fraction form
   500,586/1,036,657 = 1,036,657/x
3. Step 3: Cross multiply
   500,586x = 1,036,657 × 1,036,657
4. Step 4: Simplify right side
   500,586x = 1,074,657,735,649
5. Step 5: Solve for x
   x = 1,074,657,735,649/500,586
6. Step 6: Final answer
   x = 2,146,799.42