Finding the Third Proportional to 93,644 and 200,410

Step by Step Solution

1. Step 1: Write the proportion equation
   93,644 : 200,410 = 200,410 : x
2. Step 2: Convert to fraction form
   93,644/200,410 = 200,410/x
3. Step 3: Cross multiply
   93,644x = 200,410 × 200,410
4. Step 4: Simplify right side
   93,644x = 40,164,168,100
5. Step 5: Solve for x
   x = 40,164,168,100/93,644
6. Step 6: Final answer
   x = 428,902.74