Finding the Third Proportional to 50,092 and 105,772

Step by Step Solution

1. Step 1: Write the proportion equation
   50,092 : 105,772 = 105,772 : x
2. Step 2: Convert to fraction form
   50,092/105,772 = 105,772/x
3. Step 3: Cross multiply
   50,092x = 105,772 × 105,772
4. Step 4: Simplify right side
   50,092x = 11,187,715,984
5. Step 5: Solve for x
   x = 11,187,715,984/50,092
6. Step 6: Final answer
   x = 223,343.37