Finding the Third Proportional to 145,659 and 196,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,659 : 196,796.50 = 196,796.50 : x
2. Step 2: Convert to fraction form
   145,659/196,796.50 = 196,796.50/x
3. Step 3: Cross multiply
   145,659x = 196,796.50 × 196,796.50
4. Step 4: Simplify right side
   145,659x = 38,728,862,412.25
5. Step 5: Solve for x
   x = 38,728,862,412.25/145,659
6. Step 6: Final answer
   x = 265,887.19