Finding the Third Proportional to 33,878 and 89,924

Step by Step Solution

1. Step 1: Write the proportion equation
   33,878 : 89,924 = 89,924 : x
2. Step 2: Convert to fraction form
   33,878/89,924 = 89,924/x
3. Step 3: Cross multiply
   33,878x = 89,924 × 89,924
4. Step 4: Simplify right side
   33,878x = 8,086,325,776
5. Step 5: Solve for x
   x = 8,086,325,776/33,878
6. Step 6: Final answer
   x = 238,689.59