Finding the Third Proportional to 82,994 and 126,921

Step by Step Solution

1. Step 1: Write the proportion equation
   82,994 : 126,921 = 126,921 : x
2. Step 2: Convert to fraction form
   82,994/126,921 = 126,921/x
3. Step 3: Cross multiply
   82,994x = 126,921 × 126,921
4. Step 4: Simplify right side
   82,994x = 16,108,940,241
5. Step 5: Solve for x
   x = 16,108,940,241/82,994
6. Step 6: Final answer
   x = 194,097.65