Finding the Third Proportional to 172,926 and 261,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,926 : 261,697.50 = 261,697.50 : x
2. Step 2: Convert to fraction form
   172,926/261,697.50 = 261,697.50/x
3. Step 3: Cross multiply
   172,926x = 261,697.50 × 261,697.50
4. Step 4: Simplify right side
   172,926x = 68,485,581,506.25
5. Step 5: Solve for x
   x = 68,485,581,506.25/172,926
6. Step 6: Final answer
   x = 396,039.82