Finding the Third Proportional to 81,654 and 126,180

Step by Step Solution

1. Step 1: Write the proportion equation
   81,654 : 126,180 = 126,180 : x
2. Step 2: Convert to fraction form
   81,654/126,180 = 126,180/x
3. Step 3: Cross multiply
   81,654x = 126,180 × 126,180
4. Step 4: Simplify right side
   81,654x = 15,921,392,400
5. Step 5: Solve for x
   x = 15,921,392,400/81,654
6. Step 6: Final answer
   x = 194,986.07