Finding the Third Proportional to 145,305 and 196,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,305 : 196,258.50 = 196,258.50 : x
2. Step 2: Convert to fraction form
   145,305/196,258.50 = 196,258.50/x
3. Step 3: Cross multiply
   145,305x = 196,258.50 × 196,258.50
4. Step 4: Simplify right side
   145,305x = 38,517,398,822.25
5. Step 5: Solve for x
   x = 38,517,398,822.25/145,305
6. Step 6: Final answer
   x = 265,079.65