Finding the Third Proportional to 269,493.50 and 586,798

Step by Step Solution

1. Step 1: Write the proportion equation
   269,493.50 : 586,798 = 586,798 : x
2. Step 2: Convert to fraction form
   269,493.50/586,798 = 586,798/x
3. Step 3: Cross multiply
   269,493.50x = 586,798 × 586,798
4. Step 4: Simplify right side
   269,493.50x = 344,331,892,804
5. Step 5: Solve for x
   x = 344,331,892,804/269,493.50
6. Step 6: Final answer
   x = 1,277,700.18