Finding the Third Proportional to 110,896 and 155,200

Step by Step Solution

1. Step 1: Write the proportion equation
   110,896 : 155,200 = 155,200 : x
2. Step 2: Convert to fraction form
   110,896/155,200 = 155,200/x
3. Step 3: Cross multiply
   110,896x = 155,200 × 155,200
4. Step 4: Simplify right side
   110,896x = 24,087,040,000
5. Step 5: Solve for x
   x = 24,087,040,000/110,896
6. Step 6: Final answer
   x = 217,203.87