Finding the Third Proportional to 284,978 and 444,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,978 : 444,719.50 = 444,719.50 : x
2. Step 2: Convert to fraction form
   284,978/444,719.50 = 444,719.50/x
3. Step 3: Cross multiply
   284,978x = 444,719.50 × 444,719.50
4. Step 4: Simplify right side
   284,978x = 197,775,433,680.25
5. Step 5: Solve for x
   x = 197,775,433,680.25/284,978
6. Step 6: Final answer
   x = 694,002.46