Finding the Third Proportional to 109,801 and 149,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,801 : 149,148.50 = 149,148.50 : x
2. Step 2: Convert to fraction form
   109,801/149,148.50 = 149,148.50/x
3. Step 3: Cross multiply
   109,801x = 149,148.50 × 149,148.50
4. Step 4: Simplify right side
   109,801x = 22,245,275,052.25
5. Step 5: Solve for x
   x = 22,245,275,052.25/109,801
6. Step 6: Final answer
   x = 202,596.29