Finding the Third Proportional to 105,600 and 153,648

Step by Step Solution

1. Step 1: Write the proportion equation
   105,600 : 153,648 = 153,648 : x
2. Step 2: Convert to fraction form
   105,600/153,648 = 153,648/x
3. Step 3: Cross multiply
   105,600x = 153,648 × 153,648
4. Step 4: Simplify right side
   105,600x = 23,607,707,904
5. Step 5: Solve for x
   x = 23,607,707,904/105,600
6. Step 6: Final answer
   x = 223,557.84