Finding the Third Proportional to 268,422 and 584,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,422 : 584,077.50 = 584,077.50 : x
2. Step 2: Convert to fraction form
   268,422/584,077.50 = 584,077.50/x
3. Step 3: Cross multiply
   268,422x = 584,077.50 × 584,077.50
4. Step 4: Simplify right side
   268,422x = 341,146,526,006.25
5. Step 5: Solve for x
   x = 341,146,526,006.25/268,422
6. Step 6: Final answer
   x = 1,270,933.55