Finding the Third Proportional to 105,442.50 and 161,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,442.50 : 161,296.50 = 161,296.50 : x
2. Step 2: Convert to fraction form
   105,442.50/161,296.50 = 161,296.50/x
3. Step 3: Cross multiply
   105,442.50x = 161,296.50 × 161,296.50
4. Step 4: Simplify right side
   105,442.50x = 26,016,560,912.25
5. Step 5: Solve for x
   x = 26,016,560,912.25/105,442.50
6. Step 6: Final answer
   x = 246,736.95