Finding the Third Proportional to 109,741.50 and 149,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,741.50 : 149,053.50 = 149,053.50 : x
2. Step 2: Convert to fraction form
   109,741.50/149,053.50 = 149,053.50/x
3. Step 3: Cross multiply
   109,741.50x = 149,053.50 × 149,053.50
4. Step 4: Simplify right side
   109,741.50x = 22,216,945,862.25
5. Step 5: Solve for x
   x = 22,216,945,862.25/109,741.50
6. Step 6: Final answer
   x = 202,447.99