Finding the Third Proportional to 48,144 and 105,036

Step by Step Solution

1. Step 1: Write the proportion equation
   48,144 : 105,036 = 105,036 : x
2. Step 2: Convert to fraction form
   48,144/105,036 = 105,036/x
3. Step 3: Cross multiply
   48,144x = 105,036 × 105,036
4. Step 4: Simplify right side
   48,144x = 11,032,561,296
5. Step 5: Solve for x
   x = 11,032,561,296/48,144
6. Step 6: Final answer
   x = 229,157.55