Finding the Third Proportional to 51,680 and 111,622

Step by Step Solution

1. Step 1: Write the proportion equation
   51,680 : 111,622 = 111,622 : x
2. Step 2: Convert to fraction form
   51,680/111,622 = 111,622/x
3. Step 3: Cross multiply
   51,680x = 111,622 × 111,622
4. Step 4: Simplify right side
   51,680x = 12,459,470,884
5. Step 5: Solve for x
   x = 12,459,470,884/51,680
6. Step 6: Final answer
   x = 241,088.83