Finding the Third Proportional to 48,288 and 105,323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   48,288 : 105,323.25 = 105,323.25 : x
2. Step 2: Convert to fraction form
   48,288/105,323.25 = 105,323.25/x
3. Step 3: Cross multiply
   48,288x = 105,323.25 × 105,323.25
4. Step 4: Simplify right side
   48,288x = 11,092,986,990.56
5. Step 5: Solve for x
   x = 11,092,986,990.56/48,288
6. Step 6: Final answer
   x = 229,725.54