Finding the Third Proportional to 105,854 and 154,892

Step by Step Solution

1. Step 1: Write the proportion equation
   105,854 : 154,892 = 154,892 : x
2. Step 2: Convert to fraction form
   105,854/154,892 = 154,892/x
3. Step 3: Cross multiply
   105,854x = 154,892 × 154,892
4. Step 4: Simplify right side
   105,854x = 23,991,531,664
5. Step 5: Solve for x
   x = 23,991,531,664/105,854
6. Step 6: Final answer
   x = 226,647.38