Finding the Third Proportional to 108,536 and 164,892

Step by Step Solution

1. Step 1: Write the proportion equation
   108,536 : 164,892 = 164,892 : x
2. Step 2: Convert to fraction form
   108,536/164,892 = 164,892/x
3. Step 3: Cross multiply
   108,536x = 164,892 × 164,892
4. Step 4: Simplify right side
   108,536x = 27,189,371,664
5. Step 5: Solve for x
   x = 27,189,371,664/108,536
6. Step 6: Final answer
   x = 250,510.17