Finding the Third Proportional to 82,868 and 126,710

Step by Step Solution

1. Step 1: Write the proportion equation
   82,868 : 126,710 = 126,710 : x
2. Step 2: Convert to fraction form
   82,868/126,710 = 126,710/x
3. Step 3: Cross multiply
   82,868x = 126,710 × 126,710
4. Step 4: Simplify right side
   82,868x = 16,055,424,100
5. Step 5: Solve for x
   x = 16,055,424,100/82,868
6. Step 6: Final answer
   x = 193,746.97