Finding the Third Proportional to 52,947 and 113,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,947 : 113,568.75 = 113,568.75 : x
2. Step 2: Convert to fraction form
   52,947/113,568.75 = 113,568.75/x
3. Step 3: Cross multiply
   52,947x = 113,568.75 × 113,568.75
4. Step 4: Simplify right side
   52,947x = 12,897,860,976.56
5. Step 5: Solve for x
   x = 12,897,860,976.56/52,947
6. Step 6: Final answer
   x = 243,599.47