Finding the Third Proportional to 145,268 and 197,150

Step by Step Solution

1. Step 1: Write the proportion equation
   145,268 : 197,150 = 197,150 : x
2. Step 2: Convert to fraction form
   145,268/197,150 = 197,150/x
3. Step 3: Cross multiply
   145,268x = 197,150 × 197,150
4. Step 4: Simplify right side
   145,268x = 38,868,122,500
5. Step 5: Solve for x
   x = 38,868,122,500/145,268
6. Step 6: Final answer
   x = 267,561.49