Finding the Third Proportional to 51,820 and 113,792

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 113,792 = 113,792 : x
2. Step 2: Convert to fraction form
   51,820/113,792 = 113,792/x
3. Step 3: Cross multiply
   51,820x = 113,792 × 113,792
4. Step 4: Simplify right side
   51,820x = 12,948,619,264
5. Step 5: Solve for x
   x = 12,948,619,264/51,820
6. Step 6: Final answer
   x = 249,876.87