Finding the Third Proportional to 49,978 and 105,532

Step by Step Solution

1. Step 1: Write the proportion equation
   49,978 : 105,532 = 105,532 : x
2. Step 2: Convert to fraction form
   49,978/105,532 = 105,532/x
3. Step 3: Cross multiply
   49,978x = 105,532 × 105,532
4. Step 4: Simplify right side
   49,978x = 11,137,003,024
5. Step 5: Solve for x
   x = 11,137,003,024/49,978
6. Step 6: Final answer
   x = 222,838.11