Finding the Third Proportional to 85,909 and 126,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,909 : 126,300.50 = 126,300.50 : x
2. Step 2: Convert to fraction form
   85,909/126,300.50 = 126,300.50/x
3. Step 3: Cross multiply
   85,909x = 126,300.50 × 126,300.50
4. Step 4: Simplify right side
   85,909x = 15,951,816,300.25
5. Step 5: Solve for x
   x = 15,951,816,300.25/85,909
6. Step 6: Final answer
   x = 185,682.71