Finding the Third Proportional to 146,103.75 and 233,399.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146,103.75 : 233,399.25 = 233,399.25 : x
2. Step 2: Convert to fraction form
   146,103.75/233,399.25 = 233,399.25/x
3. Step 3: Cross multiply
   146,103.75x = 233,399.25 × 233,399.25
4. Step 4: Simplify right side
   146,103.75x = 54,475,209,900.56
5. Step 5: Solve for x
   x = 54,475,209,900.56/146,103.75
6. Step 6: Final answer
   x = 372,852.92