Finding the Third Proportional to 172,728 and 265,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,728 : 265,099.50 = 265,099.50 : x
2. Step 2: Convert to fraction form
   172,728/265,099.50 = 265,099.50/x
3. Step 3: Cross multiply
   172,728x = 265,099.50 × 265,099.50
4. Step 4: Simplify right side
   172,728x = 70,277,744,900.25
5. Step 5: Solve for x
   x = 70,277,744,900.25/172,728
6. Step 6: Final answer
   x = 406,869.44