Finding the Third Proportional to 145,656 and 196,792

Step by Step Solution

1. Step 1: Write the proportion equation
   145,656 : 196,792 = 196,792 : x
2. Step 2: Convert to fraction form
   145,656/196,792 = 196,792/x
3. Step 3: Cross multiply
   145,656x = 196,792 × 196,792
4. Step 4: Simplify right side
   145,656x = 38,727,091,264
5. Step 5: Solve for x
   x = 38,727,091,264/145,656
6. Step 6: Final answer
   x = 265,880.51