Finding the Third Proportional to 82,809 and 126,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,809 : 126,400.50 = 126,400.50 : x
2. Step 2: Convert to fraction form
   82,809/126,400.50 = 126,400.50/x
3. Step 3: Cross multiply
   82,809x = 126,400.50 × 126,400.50
4. Step 4: Simplify right side
   82,809x = 15,977,086,400.25
5. Step 5: Solve for x
   x = 15,977,086,400.25/82,809
6. Step 6: Final answer
   x = 192,939.01