Finding the Third Proportional to 81,788 and 126,298

Step by Step Solution

1. Step 1: Write the proportion equation
   81,788 : 126,298 = 126,298 : x
2. Step 2: Convert to fraction form
   81,788/126,298 = 126,298/x
3. Step 3: Cross multiply
   81,788x = 126,298 × 126,298
4. Step 4: Simplify right side
   81,788x = 15,951,184,804
5. Step 5: Solve for x
   x = 15,951,184,804/81,788
6. Step 6: Final answer
   x = 195,030.87