Finding the Third Proportional to 105,406 and 154,164

Step by Step Solution

1. Step 1: Write the proportion equation
   105,406 : 154,164 = 154,164 : x
2. Step 2: Convert to fraction form
   105,406/154,164 = 154,164/x
3. Step 3: Cross multiply
   105,406x = 154,164 × 154,164
4. Step 4: Simplify right side
   105,406x = 23,766,538,896
5. Step 5: Solve for x
   x = 23,766,538,896/105,406
6. Step 6: Final answer
   x = 225,476.15