Finding the Third Proportional to 105,440 and 154,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,440 : 154,446.50 = 154,446.50 : x
2. Step 2: Convert to fraction form
   105,440/154,446.50 = 154,446.50/x
3. Step 3: Cross multiply
   105,440x = 154,446.50 × 154,446.50
4. Step 4: Simplify right side
   105,440x = 23,853,721,362.25
5. Step 5: Solve for x
   x = 23,853,721,362.25/105,440
6. Step 6: Final answer
   x = 226,230.29