Finding the Third Proportional to 57,883.50 and 117,378

Step by Step Solution

1. Step 1: Write the proportion equation
   57,883.50 : 117,378 = 117,378 : x
2. Step 2: Convert to fraction form
   57,883.50/117,378 = 117,378/x
3. Step 3: Cross multiply
   57,883.50x = 117,378 × 117,378
4. Step 4: Simplify right side
   57,883.50x = 13,777,594,884
5. Step 5: Solve for x
   x = 13,777,594,884/57,883.50
6. Step 6: Final answer
   x = 238,022.84