Finding the Third Proportional to 106,944 and 149,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,944 : 149,509.50 = 149,509.50 : x
2. Step 2: Convert to fraction form
   106,944/149,509.50 = 149,509.50/x
3. Step 3: Cross multiply
   106,944x = 149,509.50 × 149,509.50
4. Step 4: Simplify right side
   106,944x = 22,353,090,590.25
5. Step 5: Solve for x
   x = 22,353,090,590.25/106,944
6. Step 6: Final answer
   x = 209,016.78