Finding the Third Proportional to 83,004 and 126,936

Step by Step Solution

1. Step 1: Write the proportion equation
   83,004 : 126,936 = 126,936 : x
2. Step 2: Convert to fraction form
   83,004/126,936 = 126,936/x
3. Step 3: Cross multiply
   83,004x = 126,936 × 126,936
4. Step 4: Simplify right side
   83,004x = 16,112,748,096
5. Step 5: Solve for x
   x = 16,112,748,096/83,004
6. Step 6: Final answer
   x = 194,120.14