Finding the Third Proportional to 106,945.50 and 149,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,945.50 : 149,524.50 = 149,524.50 : x
2. Step 2: Convert to fraction form
   106,945.50/149,524.50 = 149,524.50/x
3. Step 3: Cross multiply
   106,945.50x = 149,524.50 × 149,524.50
4. Step 4: Simplify right side
   106,945.50x = 22,357,576,100.25
5. Step 5: Solve for x
   x = 22,357,576,100.25/106,945.50
6. Step 6: Final answer
   x = 209,055.79