Finding the Third Proportional to 52,120 and 113,798

Step by Step Solution

1. Step 1: Write the proportion equation
   52,120 : 113,798 = 113,798 : x
2. Step 2: Convert to fraction form
   52,120/113,798 = 113,798/x
3. Step 3: Cross multiply
   52,120x = 113,798 × 113,798
4. Step 4: Simplify right side
   52,120x = 12,949,984,804
5. Step 5: Solve for x
   x = 12,949,984,804/52,120
6. Step 6: Final answer
   x = 248,464.79