Finding the Third Proportional to 105,698 and 154,755

Step by Step Solution

1. Step 1: Write the proportion equation
   105,698 : 154,755 = 154,755 : x
2. Step 2: Convert to fraction form
   105,698/154,755 = 154,755/x
3. Step 3: Cross multiply
   105,698x = 154,755 × 154,755
4. Step 4: Simplify right side
   105,698x = 23,949,110,025
5. Step 5: Solve for x
   x = 23,949,110,025/105,698
6. Step 6: Final answer
   x = 226,580.54