Finding the Third Proportional to 52,411 and 113,680

Step by Step Solution

1. Step 1: Write the proportion equation
   52,411 : 113,680 = 113,680 : x
2. Step 2: Convert to fraction form
   52,411/113,680 = 113,680/x
3. Step 3: Cross multiply
   52,411x = 113,680 × 113,680
4. Step 4: Simplify right side
   52,411x = 12,923,142,400
5. Step 5: Solve for x
   x = 12,923,142,400/52,411
6. Step 6: Final answer
   x = 246,573.09