Finding the Third Proportional to 52,565 and 113,878

Step by Step Solution

1. Step 1: Write the proportion equation
   52,565 : 113,878 = 113,878 : x
2. Step 2: Convert to fraction form
   52,565/113,878 = 113,878/x
3. Step 3: Cross multiply
   52,565x = 113,878 × 113,878
4. Step 4: Simplify right side
   52,565x = 12,968,198,884
5. Step 5: Solve for x
   x = 12,968,198,884/52,565
6. Step 6: Final answer
   x = 246,707.86