Finding the Third Proportional to 284,914 and 442,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,914 : 442,911.50 = 442,911.50 : x
2. Step 2: Convert to fraction form
   284,914/442,911.50 = 442,911.50/x
3. Step 3: Cross multiply
   284,914x = 442,911.50 × 442,911.50
4. Step 4: Simplify right side
   284,914x = 196,170,596,832.25
5. Step 5: Solve for x
   x = 196,170,596,832.25/284,914
6. Step 6: Final answer
   x = 688,525.65