Finding the Third Proportional to 172,938 and 261,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,938 : 261,709.50 = 261,709.50 : x
2. Step 2: Convert to fraction form
   172,938/261,709.50 = 261,709.50/x
3. Step 3: Cross multiply
   172,938x = 261,709.50 × 261,709.50
4. Step 4: Simplify right side
   172,938x = 68,491,862,390.25
5. Step 5: Solve for x
   x = 68,491,862,390.25/172,938
6. Step 6: Final answer
   x = 396,048.66