Finding the Third Proportional to 52,380 and 113,682

Step by Step Solution

1. Step 1: Write the proportion equation
   52,380 : 113,682 = 113,682 : x
2. Step 2: Convert to fraction form
   52,380/113,682 = 113,682/x
3. Step 3: Cross multiply
   52,380x = 113,682 × 113,682
4. Step 4: Simplify right side
   52,380x = 12,923,597,124
5. Step 5: Solve for x
   x = 12,923,597,124/52,380
6. Step 6: Final answer
   x = 246,727.70