Finding the Third Proportional to 105,967.75 and 148,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,967.75 : 148,535.50 = 148,535.50 : x
2. Step 2: Convert to fraction form
   105,967.75/148,535.50 = 148,535.50/x
3. Step 3: Cross multiply
   105,967.75x = 148,535.50 × 148,535.50
4. Step 4: Simplify right side
   105,967.75x = 22,062,794,760.25
5. Step 5: Solve for x
   x = 22,062,794,760.25/105,967.75
6. Step 6: Final answer
   x = 208,202.92