Finding the Third Proportional to 103,906.50 and 161,205

Step by Step Solution

1. Step 1: Write the proportion equation
   103,906.50 : 161,205 = 161,205 : x
2. Step 2: Convert to fraction form
   103,906.50/161,205 = 161,205/x
3. Step 3: Cross multiply
   103,906.50x = 161,205 × 161,205
4. Step 4: Simplify right side
   103,906.50x = 25,987,052,025
5. Step 5: Solve for x
   x = 25,987,052,025/103,906.50
6. Step 6: Final answer
   x = 250,100.35