Finding the Third Proportional to 189,243 and 269,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,243 : 269,905.50 = 269,905.50 : x
2. Step 2: Convert to fraction form
   189,243/269,905.50 = 269,905.50/x
3. Step 3: Cross multiply
   189,243x = 269,905.50 × 269,905.50
4. Step 4: Simplify right side
   189,243x = 72,848,978,930.25
5. Step 5: Solve for x
   x = 72,848,978,930.25/189,243
6. Step 6: Final answer
   x = 384,949.40