Finding the Third Proportional to 265,843 and 583,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,843 : 583,359.50 = 583,359.50 : x
2. Step 2: Convert to fraction form
   265,843/583,359.50 = 583,359.50/x
3. Step 3: Cross multiply
   265,843x = 583,359.50 × 583,359.50
4. Step 4: Simplify right side
   265,843x = 340,308,306,240.25
5. Step 5: Solve for x
   x = 340,308,306,240.25/265,843
6. Step 6: Final answer
   x = 1,280,110.09