Finding the Third Proportional to 52,742 and 113,789

Step by Step Solution

1. Step 1: Write the proportion equation
   52,742 : 113,789 = 113,789 : x
2. Step 2: Convert to fraction form
   52,742/113,789 = 113,789/x
3. Step 3: Cross multiply
   52,742x = 113,789 × 113,789
4. Step 4: Simplify right side
   52,742x = 12,947,936,521
5. Step 5: Solve for x
   x = 12,947,936,521/52,742
6. Step 6: Final answer
   x = 245,495.74