Finding the Third Proportional to 92,146 and 200,966

Step by Step Solution

1. Step 1: Write the proportion equation
   92,146 : 200,966 = 200,966 : x
2. Step 2: Convert to fraction form
   92,146/200,966 = 200,966/x
3. Step 3: Cross multiply
   92,146x = 200,966 × 200,966
4. Step 4: Simplify right side
   92,146x = 40,387,333,156
5. Step 5: Solve for x
   x = 40,387,333,156/92,146
6. Step 6: Final answer
   x = 438,297.19