Finding the Third Proportional to 172,026 and 260,632

Step by Step Solution

1. Step 1: Write the proportion equation
   172,026 : 260,632 = 260,632 : x
2. Step 2: Convert to fraction form
   172,026/260,632 = 260,632/x
3. Step 3: Cross multiply
   172,026x = 260,632 × 260,632
4. Step 4: Simplify right side
   172,026x = 67,929,039,424
5. Step 5: Solve for x
   x = 67,929,039,424/172,026
6. Step 6: Final answer
   x = 394,876.59