Finding the Third Proportional to 109,727 and 146,820

Step by Step Solution

1. Step 1: Write the proportion equation
   109,727 : 146,820 = 146,820 : x
2. Step 2: Convert to fraction form
   109,727/146,820 = 146,820/x
3. Step 3: Cross multiply
   109,727x = 146,820 × 146,820
4. Step 4: Simplify right side
   109,727x = 21,556,112,400
5. Step 5: Solve for x
   x = 21,556,112,400/109,727
6. Step 6: Final answer
   x = 196,452.22