Finding the Third Proportional to 82,996 and 126,924

Step by Step Solution

1. Step 1: Write the proportion equation
   82,996 : 126,924 = 126,924 : x
2. Step 2: Convert to fraction form
   82,996/126,924 = 126,924/x
3. Step 3: Cross multiply
   82,996x = 126,924 × 126,924
4. Step 4: Simplify right side
   82,996x = 16,109,701,776
5. Step 5: Solve for x
   x = 16,109,701,776/82,996
6. Step 6: Final answer
   x = 194,102.15