Finding the Third Proportional to 109,735.50 and 149,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,735.50 : 149,044.50 = 149,044.50 : x
2. Step 2: Convert to fraction form
   109,735.50/149,044.50 = 149,044.50/x
3. Step 3: Cross multiply
   109,735.50x = 149,044.50 × 149,044.50
4. Step 4: Simplify right side
   109,735.50x = 22,214,262,980.25
5. Step 5: Solve for x
   x = 22,214,262,980.25/109,735.50
6. Step 6: Final answer
   x = 202,434.61