Finding the Third Proportional to 108,082 and 172,664

Step by Step Solution

1. Step 1: Write the proportion equation
   108,082 : 172,664 = 172,664 : x
2. Step 2: Convert to fraction form
   108,082/172,664 = 172,664/x
3. Step 3: Cross multiply
   108,082x = 172,664 × 172,664
4. Step 4: Simplify right side
   108,082x = 29,812,856,896
5. Step 5: Solve for x
   x = 29,812,856,896/108,082
6. Step 6: Final answer
   x = 275,835.54