Finding the Third Proportional to 344,686 and 517,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,686 : 517,393.50 = 517,393.50 : x
2. Step 2: Convert to fraction form
   344,686/517,393.50 = 517,393.50/x
3. Step 3: Cross multiply
   344,686x = 517,393.50 × 517,393.50
4. Step 4: Simplify right side
   344,686x = 267,696,033,842.25
5. Step 5: Solve for x
   x = 267,696,033,842.25/344,686
6. Step 6: Final answer
   x = 776,637.39