Finding the Third Proportional to 52,380 and 113,871

Step by Step Solution

1. Step 1: Write the proportion equation
   52,380 : 113,871 = 113,871 : x
2. Step 2: Convert to fraction form
   52,380/113,871 = 113,871/x
3. Step 3: Cross multiply
   52,380x = 113,871 × 113,871
4. Step 4: Simplify right side
   52,380x = 12,966,604,641
5. Step 5: Solve for x
   x = 12,966,604,641/52,380
6. Step 6: Final answer
   x = 247,548.77