Finding the Third Proportional to 189,828 and 267,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,828 : 267,016.50 = 267,016.50 : x
2. Step 2: Convert to fraction form
   189,828/267,016.50 = 267,016.50/x
3. Step 3: Cross multiply
   189,828x = 267,016.50 × 267,016.50
4. Step 4: Simplify right side
   189,828x = 71,297,811,272.25
5. Step 5: Solve for x
   x = 71,297,811,272.25/189,828
6. Step 6: Final answer
   x = 375,591.65