Finding the Third Proportional to 344,682 and 514,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,682 : 514,957.50 = 514,957.50 : x
2. Step 2: Convert to fraction form
   344,682/514,957.50 = 514,957.50/x
3. Step 3: Cross multiply
   344,682x = 514,957.50 × 514,957.50
4. Step 4: Simplify right side
   344,682x = 265,181,226,806.25
5. Step 5: Solve for x
   x = 265,181,226,806.25/344,682
6. Step 6: Final answer
   x = 769,350.38