Finding the Third Proportional to 85,911 and 126,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,911 : 126,289.50 = 126,289.50 : x
2. Step 2: Convert to fraction form
   85,911/126,289.50 = 126,289.50/x
3. Step 3: Cross multiply
   85,911x = 126,289.50 × 126,289.50
4. Step 4: Simplify right side
   85,911x = 15,949,037,810.25
5. Step 5: Solve for x
   x = 15,949,037,810.25/85,911
6. Step 6: Final answer
   x = 185,646.05