Finding the Third Proportional to 52,184 and 113,768

Step by Step Solution

1. Step 1: Write the proportion equation
   52,184 : 113,768 = 113,768 : x
2. Step 2: Convert to fraction form
   52,184/113,768 = 113,768/x
3. Step 3: Cross multiply
   52,184x = 113,768 × 113,768
4. Step 4: Simplify right side
   52,184x = 12,943,157,824
5. Step 5: Solve for x
   x = 12,943,157,824/52,184
6. Step 6: Final answer
   x = 248,029.24