Finding the Third Proportional to 109,224 and 146,682

Step by Step Solution

1. Step 1: Write the proportion equation
   109,224 : 146,682 = 146,682 : x
2. Step 2: Convert to fraction form
   109,224/146,682 = 146,682/x
3. Step 3: Cross multiply
   109,224x = 146,682 × 146,682
4. Step 4: Simplify right side
   109,224x = 21,515,609,124
5. Step 5: Solve for x
   x = 21,515,609,124/109,224
6. Step 6: Final answer
   x = 196,986.09