Finding the Third Proportional to 338,539.50 and 514,458

Step by Step Solution

1. Step 1: Write the proportion equation
   338,539.50 : 514,458 = 514,458 : x
2. Step 2: Convert to fraction form
   338,539.50/514,458 = 514,458/x
3. Step 3: Cross multiply
   338,539.50x = 514,458 × 514,458
4. Step 4: Simplify right side
   338,539.50x = 264,667,033,764
5. Step 5: Solve for x
   x = 264,667,033,764/338,539.50
6. Step 6: Final answer
   x = 781,790.70