Finding the Third Proportional to 268,458 and 588,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,458 : 588,583.50 = 588,583.50 : x
2. Step 2: Convert to fraction form
   268,458/588,583.50 = 588,583.50/x
3. Step 3: Cross multiply
   268,458x = 588,583.50 × 588,583.50
4. Step 4: Simplify right side
   268,458x = 346,430,536,472.25
5. Step 5: Solve for x
   x = 346,430,536,472.25/268,458
6. Step 6: Final answer
   x = 1,290,445.94