Finding the Third Proportional to 105,398 and 154,153

Step by Step Solution

1. Step 1: Write the proportion equation
   105,398 : 154,153 = 154,153 : x
2. Step 2: Convert to fraction form
   105,398/154,153 = 154,153/x
3. Step 3: Cross multiply
   105,398x = 154,153 × 154,153
4. Step 4: Simplify right side
   105,398x = 23,763,147,409
5. Step 5: Solve for x
   x = 23,763,147,409/105,398
6. Step 6: Final answer
   x = 225,461.08