Finding the Third Proportional to 127,867 and 189,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,867 : 189,321.50 = 189,321.50 : x
2. Step 2: Convert to fraction form
   127,867/189,321.50 = 189,321.50/x
3. Step 3: Cross multiply
   127,867x = 189,321.50 × 189,321.50
4. Step 4: Simplify right side
   127,867x = 35,842,630,362.25
5. Step 5: Solve for x
   x = 35,842,630,362.25/127,867
6. Step 6: Final answer
   x = 280,311.81