Finding the Third Proportional to 261,768 and 415,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,768 : 415,168.50 = 415,168.50 : x
2. Step 2: Convert to fraction form
   261,768/415,168.50 = 415,168.50/x
3. Step 3: Cross multiply
   261,768x = 415,168.50 × 415,168.50
4. Step 4: Simplify right side
   261,768x = 172,364,883,392.25
5. Step 5: Solve for x
   x = 172,364,883,392.25/261,768
6. Step 6: Final answer
   x = 658,464.30