Finding the Third Proportional to 109,336 and 160,116

Step by Step Solution

1. Step 1: Write the proportion equation
   109,336 : 160,116 = 160,116 : x
2. Step 2: Convert to fraction form
   109,336/160,116 = 160,116/x
3. Step 3: Cross multiply
   109,336x = 160,116 × 160,116
4. Step 4: Simplify right side
   109,336x = 25,637,133,456
5. Step 5: Solve for x
   x = 25,637,133,456/109,336
6. Step 6: Final answer
   x = 234,480.26