Finding the Third Proportional to 49,920 and 109,083

Step by Step Solution

1. Step 1: Write the proportion equation
   49,920 : 109,083 = 109,083 : x
2. Step 2: Convert to fraction form
   49,920/109,083 = 109,083/x
3. Step 3: Cross multiply
   49,920x = 109,083 × 109,083
4. Step 4: Simplify right side
   49,920x = 11,899,100,889
5. Step 5: Solve for x
   x = 11,899,100,889/49,920
6. Step 6: Final answer
   x = 238,363.40