Finding the Third Proportional to 53,746 and 111,852

Step by Step Solution

1. Step 1: Write the proportion equation
   53,746 : 111,852 = 111,852 : x
2. Step 2: Convert to fraction form
   53,746/111,852 = 111,852/x
3. Step 3: Cross multiply
   53,746x = 111,852 × 111,852
4. Step 4: Simplify right side
   53,746x = 12,510,869,904
5. Step 5: Solve for x
   x = 12,510,869,904/53,746
6. Step 6: Final answer
   x = 232,777.69