Finding the Third Proportional to 178,290 and 379,476

Step by Step Solution

1. Step 1: Write the proportion equation
   178,290 : 379,476 = 379,476 : x
2. Step 2: Convert to fraction form
   178,290/379,476 = 379,476/x
3. Step 3: Cross multiply
   178,290x = 379,476 × 379,476
4. Step 4: Simplify right side
   178,290x = 144,002,034,576
5. Step 5: Solve for x
   x = 144,002,034,576/178,290
6. Step 6: Final answer
   x = 807,684.30