Finding the Third Proportional to 290,147 and 443,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   290,147 : 443,806.50 = 443,806.50 : x
2. Step 2: Convert to fraction form
   290,147/443,806.50 = 443,806.50/x
3. Step 3: Cross multiply
   290,147x = 443,806.50 × 443,806.50
4. Step 4: Simplify right side
   290,147x = 196,964,209,442.25
5. Step 5: Solve for x
   x = 196,964,209,442.25/290,147
6. Step 6: Final answer
   x = 678,842.83