Finding the Third Proportional to 51,820 and 113,517

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 113,517 = 113,517 : x
2. Step 2: Convert to fraction form
   51,820/113,517 = 113,517/x
3. Step 3: Cross multiply
   51,820x = 113,517 × 113,517
4. Step 4: Simplify right side
   51,820x = 12,886,109,289
5. Step 5: Solve for x
   x = 12,886,109,289/51,820
6. Step 6: Final answer
   x = 248,670.58