Finding the Third Proportional to 269,679 and 586,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,679 : 586,924.50 = 586,924.50 : x
2. Step 2: Convert to fraction form
   269,679/586,924.50 = 586,924.50/x
3. Step 3: Cross multiply
   269,679x = 586,924.50 × 586,924.50
4. Step 4: Simplify right side
   269,679x = 344,480,368,700.25
5. Step 5: Solve for x
   x = 344,480,368,700.25/269,679
6. Step 6: Final answer
   x = 1,277,371.87