Finding the Third Proportional to 35,878 and 78,885

Step by Step Solution

1. Step 1: Write the proportion equation
   35,878 : 78,885 = 78,885 : x
2. Step 2: Convert to fraction form
   35,878/78,885 = 78,885/x
3. Step 3: Cross multiply
   35,878x = 78,885 × 78,885
4. Step 4: Simplify right side
   35,878x = 6,222,843,225
5. Step 5: Solve for x
   x = 6,222,843,225/35,878
6. Step 6: Final answer
   x = 173,444.54