Finding the Third Proportional to 109,212 and 146,757

Step by Step Solution

1. Step 1: Write the proportion equation
   109,212 : 146,757 = 146,757 : x
2. Step 2: Convert to fraction form
   109,212/146,757 = 146,757/x
3. Step 3: Cross multiply
   109,212x = 146,757 × 146,757
4. Step 4: Simplify right side
   109,212x = 21,537,617,049
5. Step 5: Solve for x
   x = 21,537,617,049/109,212
6. Step 6: Final answer
   x = 197,209.25