Finding the Third Proportional to 50,523 and 109,896

Step by Step Solution

1. Step 1: Write the proportion equation
   50,523 : 109,896 = 109,896 : x
2. Step 2: Convert to fraction form
   50,523/109,896 = 109,896/x
3. Step 3: Cross multiply
   50,523x = 109,896 × 109,896
4. Step 4: Simplify right side
   50,523x = 12,077,130,816
5. Step 5: Solve for x
   x = 12,077,130,816/50,523
6. Step 6: Final answer
   x = 239,042.23