Finding the Third Proportional to 145,435.50 and 196,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   145,435.50 : 196,404.75 = 196,404.75 : x
2. Step 2: Convert to fraction form
   145,435.50/196,404.75 = 196,404.75/x
3. Step 3: Cross multiply
   145,435.50x = 196,404.75 × 196,404.75
4. Step 4: Simplify right side
   145,435.50x = 38,574,825,822.56
5. Step 5: Solve for x
   x = 38,574,825,822.56/145,435.50
6. Step 6: Final answer
   x = 265,236.66