Finding the Third Proportional to 176,096 and 385,600

Step by Step Solution

1. Step 1: Write the proportion equation
   176,096 : 385,600 = 385,600 : x
2. Step 2: Convert to fraction form
   176,096/385,600 = 385,600/x
3. Step 3: Cross multiply
   176,096x = 385,600 × 385,600
4. Step 4: Simplify right side
   176,096x = 148,687,360,000
5. Step 5: Solve for x
   x = 148,687,360,000/176,096
6. Step 6: Final answer
   x = 844,353.99