Finding the Third Proportional to 172,071 and 260,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,071 : 260,698.50 = 260,698.50 : x
2. Step 2: Convert to fraction form
   172,071/260,698.50 = 260,698.50/x
3. Step 3: Cross multiply
   172,071x = 260,698.50 × 260,698.50
4. Step 4: Simplify right side
   172,071x = 67,963,707,902.25
5. Step 5: Solve for x
   x = 67,963,707,902.25/172,071
6. Step 6: Final answer
   x = 394,974.79