Finding the Third Proportional to 83,000 and 126,930

Step by Step Solution

1. Step 1: Write the proportion equation
   83,000 : 126,930 = 126,930 : x
2. Step 2: Convert to fraction form
   83,000/126,930 = 126,930/x
3. Step 3: Cross multiply
   83,000x = 126,930 × 126,930
4. Step 4: Simplify right side
   83,000x = 16,111,224,900
5. Step 5: Solve for x
   x = 16,111,224,900/83,000
6. Step 6: Final answer
   x = 194,111.14