Finding the Third Proportional to 344,634 and 514,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,634 : 514,885.50 = 514,885.50 : x
2. Step 2: Convert to fraction form
   344,634/514,885.50 = 514,885.50/x
3. Step 3: Cross multiply
   344,634x = 514,885.50 × 514,885.50
4. Step 4: Simplify right side
   344,634x = 265,107,078,110.25
5. Step 5: Solve for x
   x = 265,107,078,110.25/344,634
6. Step 6: Final answer
   x = 769,242.38