Finding the Third Proportional to 284,913 and 441,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,913 : 441,139.50 = 441,139.50 : x
2. Step 2: Convert to fraction form
   284,913/441,139.50 = 441,139.50/x
3. Step 3: Cross multiply
   284,913x = 441,139.50 × 441,139.50
4. Step 4: Simplify right side
   284,913x = 194,604,058,460.25
5. Step 5: Solve for x
   x = 194,604,058,460.25/284,913
6. Step 6: Final answer
   x = 683,029.76