Finding the Third Proportional to 109,802 and 149,150

Step by Step Solution

1. Step 1: Write the proportion equation
   109,802 : 149,150 = 149,150 : x
2. Step 2: Convert to fraction form
   109,802/149,150 = 149,150/x
3. Step 3: Cross multiply
   109,802x = 149,150 × 149,150
4. Step 4: Simplify right side
   109,802x = 22,245,722,500
5. Step 5: Solve for x
   x = 22,245,722,500/109,802
6. Step 6: Final answer
   x = 202,598.52