Finding the Third Proportional to 111,738 and 159,619

Step by Step Solution

1. Step 1: Write the proportion equation
   111,738 : 159,619 = 159,619 : x
2. Step 2: Convert to fraction form
   111,738/159,619 = 159,619/x
3. Step 3: Cross multiply
   111,738x = 159,619 × 159,619
4. Step 4: Simplify right side
   111,738x = 25,478,225,161
5. Step 5: Solve for x
   x = 25,478,225,161/111,738
6. Step 6: Final answer
   x = 228,017.55