Finding the Third Proportional to 145,633.75 and 196,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,633.75 : 196,760.50 = 196,760.50 : x
2. Step 2: Convert to fraction form
   145,633.75/196,760.50 = 196,760.50/x
3. Step 3: Cross multiply
   145,633.75x = 196,760.50 × 196,760.50
4. Step 4: Simplify right side
   145,633.75x = 38,714,694,360.25
5. Step 5: Solve for x
   x = 38,714,694,360.25/145,633.75
6. Step 6: Final answer
   x = 265,836.01