Finding the Third Proportional to 500,584 and 1,036,656

Step by Step Solution

1. Step 1: Write the proportion equation
   500,584 : 1,036,656 = 1,036,656 : x
2. Step 2: Convert to fraction form
   500,584/1,036,656 = 1,036,656/x
3. Step 3: Cross multiply
   500,584x = 1,036,656 × 1,036,656
4. Step 4: Simplify right side
   500,584x = 1,074,655,662,336
5. Step 5: Solve for x
   x = 1,074,655,662,336/500,584
6. Step 6: Final answer
   x = 2,146,803.86