Finding the Third Proportional to 145,658.25 and 196,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,658.25 : 196,796.25 = 196,796.25 : x
2. Step 2: Convert to fraction form
   145,658.25/196,796.25 = 196,796.25/x
3. Step 3: Cross multiply
   145,658.25x = 196,796.25 × 196,796.25
4. Step 4: Simplify right side
   145,658.25x = 38,728,764,014.06
5. Step 5: Solve for x
   x = 38,728,764,014.06/145,658.25
6. Step 6: Final answer
   x = 265,887.88