Finding the Third Proportional to 111,896 and 161,828

Step by Step Solution

1. Step 1: Write the proportion equation
   111,896 : 161,828 = 161,828 : x
2. Step 2: Convert to fraction form
   111,896/161,828 = 161,828/x
3. Step 3: Cross multiply
   111,896x = 161,828 × 161,828
4. Step 4: Simplify right side
   111,896x = 26,188,301,584
5. Step 5: Solve for x
   x = 26,188,301,584/111,896
6. Step 6: Final answer
   x = 234,041.45