Finding the Third Proportional to 194,436 and 457,812

Step by Step Solution

1. Step 1: Write the proportion equation
   194,436 : 457,812 = 457,812 : x
2. Step 2: Convert to fraction form
   194,436/457,812 = 457,812/x
3. Step 3: Cross multiply
   194,436x = 457,812 × 457,812
4. Step 4: Simplify right side
   194,436x = 209,591,827,344
5. Step 5: Solve for x
   x = 209,591,827,344/194,436
6. Step 6: Final answer
   x = 1,077,947.64