Finding the Third Proportional to 109,566 and 146,306.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,566 : 146,306.25 = 146,306.25 : x
2. Step 2: Convert to fraction form
   109,566/146,306.25 = 146,306.25/x
3. Step 3: Cross multiply
   109,566x = 146,306.25 × 146,306.25
4. Step 4: Simplify right side
   109,566x = 21,405,518,789.06
5. Step 5: Solve for x
   x = 21,405,518,789.06/109,566
6. Step 6: Final answer
   x = 195,366.43