Finding the Third Proportional to 109,214 and 146,760

Step by Step Solution

1. Step 1: Write the proportion equation
   109,214 : 146,760 = 146,760 : x
2. Step 2: Convert to fraction form
   109,214/146,760 = 146,760/x
3. Step 3: Cross multiply
   109,214x = 146,760 × 146,760
4. Step 4: Simplify right side
   109,214x = 21,538,497,600
5. Step 5: Solve for x
   x = 21,538,497,600/109,214
6. Step 6: Final answer
   x = 197,213.71