Finding the Third Proportional to 344,628 and 514,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,628 : 514,876.50 = 514,876.50 : x
2. Step 2: Convert to fraction form
   344,628/514,876.50 = 514,876.50/x
3. Step 3: Cross multiply
   344,628x = 514,876.50 × 514,876.50
4. Step 4: Simplify right side
   344,628x = 265,097,810,252.25
5. Step 5: Solve for x
   x = 265,097,810,252.25/344,628
6. Step 6: Final answer
   x = 769,228.88