Finding the Third Proportional to 48,978 and 105,588

Step by Step Solution

1. Step 1: Write the proportion equation
   48,978 : 105,588 = 105,588 : x
2. Step 2: Convert to fraction form
   48,978/105,588 = 105,588/x
3. Step 3: Cross multiply
   48,978x = 105,588 × 105,588
4. Step 4: Simplify right side
   48,978x = 11,148,825,744
5. Step 5: Solve for x
   x = 11,148,825,744/48,978
6. Step 6: Final answer
   x = 227,629.26