Finding the Third Proportional to 194,540 and 418,142

Step by Step Solution

1. Step 1: Write the proportion equation
   194,540 : 418,142 = 418,142 : x
2. Step 2: Convert to fraction form
   194,540/418,142 = 418,142/x
3. Step 3: Cross multiply
   194,540x = 418,142 × 418,142
4. Step 4: Simplify right side
   194,540x = 174,842,732,164
5. Step 5: Solve for x
   x = 174,842,732,164/194,540
6. Step 6: Final answer
   x = 898,749.52