Finding the Third Proportional to 84,606 and 200,436

Step by Step Solution

1. Step 1: Write the proportion equation
   84,606 : 200,436 = 200,436 : x
2. Step 2: Convert to fraction form
   84,606/200,436 = 200,436/x
3. Step 3: Cross multiply
   84,606x = 200,436 × 200,436
4. Step 4: Simplify right side
   84,606x = 40,174,590,096
5. Step 5: Solve for x
   x = 40,174,590,096/84,606
6. Step 6: Final answer
   x = 474,843.27