Finding the Third Proportional to 109,180 and 146,706

Step by Step Solution

1. Step 1: Write the proportion equation
   109,180 : 146,706 = 146,706 : x
2. Step 2: Convert to fraction form
   109,180/146,706 = 146,706/x
3. Step 3: Cross multiply
   109,180x = 146,706 × 146,706
4. Step 4: Simplify right side
   109,180x = 21,522,650,436
5. Step 5: Solve for x
   x = 21,522,650,436/109,180
6. Step 6: Final answer
   x = 197,129.97