Finding the Third Proportional to 194,631.75 and 419,274

Step by Step Solution

1. Step 1: Write the proportion equation
   194,631.75 : 419,274 = 419,274 : x
2. Step 2: Convert to fraction form
   194,631.75/419,274 = 419,274/x
3. Step 3: Cross multiply
   194,631.75x = 419,274 × 419,274
4. Step 4: Simplify right side
   194,631.75x = 175,790,687,076
5. Step 5: Solve for x
   x = 175,790,687,076/194,631.75
6. Step 6: Final answer
   x = 903,196.35