Finding the Third Proportional to 52,746.75 and 113,742

Step by Step Solution

1. Step 1: Write the proportion equation
   52,746.75 : 113,742 = 113,742 : x
2. Step 2: Convert to fraction form
   52,746.75/113,742 = 113,742/x
3. Step 3: Cross multiply
   52,746.75x = 113,742 × 113,742
4. Step 4: Simplify right side
   52,746.75x = 12,937,242,564
5. Step 5: Solve for x
   x = 12,937,242,564/52,746.75
6. Step 6: Final answer
   x = 245,270.89