Finding the Third Proportional to 51,761 and 111,298

Step by Step Solution

1. Step 1: Write the proportion equation
   51,761 : 111,298 = 111,298 : x
2. Step 2: Convert to fraction form
   51,761/111,298 = 111,298/x
3. Step 3: Cross multiply
   51,761x = 111,298 × 111,298
4. Step 4: Simplify right side
   51,761x = 12,387,244,804
5. Step 5: Solve for x
   x = 12,387,244,804/51,761
6. Step 6: Final answer
   x = 239,316.18