Finding the Third Proportional to 105,462 and 154,224

Step by Step Solution

1. Step 1: Write the proportion equation
   105,462 : 154,224 = 154,224 : x
2. Step 2: Convert to fraction form
   105,462/154,224 = 154,224/x
3. Step 3: Cross multiply
   105,462x = 154,224 × 154,224
4. Step 4: Simplify right side
   105,462x = 23,785,042,176
5. Step 5: Solve for x
   x = 23,785,042,176/105,462
6. Step 6: Final answer
   x = 225,531.87