Finding the Third Proportional to 52,180 and 113,674

Step by Step Solution

1. Step 1: Write the proportion equation
   52,180 : 113,674 = 113,674 : x
2. Step 2: Convert to fraction form
   52,180/113,674 = 113,674/x
3. Step 3: Cross multiply
   52,180x = 113,674 × 113,674
4. Step 4: Simplify right side
   52,180x = 12,921,778,276
5. Step 5: Solve for x
   x = 12,921,778,276/52,180
6. Step 6: Final answer
   x = 247,638.53