Finding the Third Proportional to 109,200 and 146,741

Step by Step Solution

1. Step 1: Write the proportion equation
   109,200 : 146,741 = 146,741 : x
2. Step 2: Convert to fraction form
   109,200/146,741 = 146,741/x
3. Step 3: Cross multiply
   109,200x = 146,741 × 146,741
4. Step 4: Simplify right side
   109,200x = 21,532,921,081
5. Step 5: Solve for x
   x = 21,532,921,081/109,200
6. Step 6: Final answer
   x = 197,187.92