Finding the Third Proportional to 109,566 and 146,502

Step by Step Solution

1. Step 1: Write the proportion equation
   109,566 : 146,502 = 146,502 : x
2. Step 2: Convert to fraction form
   109,566/146,502 = 146,502/x
3. Step 3: Cross multiply
   109,566x = 146,502 × 146,502
4. Step 4: Simplify right side
   109,566x = 21,462,836,004
5. Step 5: Solve for x
   x = 21,462,836,004/109,566
6. Step 6: Final answer
   x = 195,889.56