Finding the Third Proportional to 109,717.50 and 149,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,717.50 : 149,023.50 = 149,023.50 : x
2. Step 2: Convert to fraction form
   109,717.50/149,023.50 = 149,023.50/x
3. Step 3: Cross multiply
   109,717.50x = 149,023.50 × 149,023.50
4. Step 4: Simplify right side
   109,717.50x = 22,208,003,552.25
5. Step 5: Solve for x
   x = 22,208,003,552.25/109,717.50
6. Step 6: Final answer
   x = 202,410.77