Finding the Third Proportional to 92,492 and 196,504

Step by Step Solution

1. Step 1: Write the proportion equation
   92,492 : 196,504 = 196,504 : x
2. Step 2: Convert to fraction form
   92,492/196,504 = 196,504/x
3. Step 3: Cross multiply
   92,492x = 196,504 × 196,504
4. Step 4: Simplify right side
   92,492x = 38,613,822,016
5. Step 5: Solve for x
   x = 38,613,822,016/92,492
6. Step 6: Final answer
   x = 417,482.83