Finding the Third Proportional to 178,722 and 384,900

Step by Step Solution

1. Step 1: Write the proportion equation
   178,722 : 384,900 = 384,900 : x
2. Step 2: Convert to fraction form
   178,722/384,900 = 384,900/x
3. Step 3: Cross multiply
   178,722x = 384,900 × 384,900
4. Step 4: Simplify right side
   178,722x = 148,148,010,000
5. Step 5: Solve for x
   x = 148,148,010,000/178,722
6. Step 6: Final answer
   x = 828,929.90