Finding the Third Proportional to 45,920 and 70,878

Step by Step Solution

1. Step 1: Write the proportion equation
   45,920 : 70,878 = 70,878 : x
2. Step 2: Convert to fraction form
   45,920/70,878 = 70,878/x
3. Step 3: Cross multiply
   45,920x = 70,878 × 70,878
4. Step 4: Simplify right side
   45,920x = 5,023,690,884
5. Step 5: Solve for x
   x = 5,023,690,884/45,920
6. Step 6: Final answer
   x = 109,400.93