Finding the Third Proportional to 179,432 and 377,456

Step by Step Solution

1. Step 1: Write the proportion equation
   179,432 : 377,456 = 377,456 : x
2. Step 2: Convert to fraction form
   179,432/377,456 = 377,456/x
3. Step 3: Cross multiply
   179,432x = 377,456 × 377,456
4. Step 4: Simplify right side
   179,432x = 142,473,031,936
5. Step 5: Solve for x
   x = 142,473,031,936/179,432
6. Step 6: Final answer
   x = 794,022.43