Finding the Third Proportional to 405,825 and 630,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,825 : 630,841.50 = 630,841.50 : x
2. Step 2: Convert to fraction form
   405,825/630,841.50 = 630,841.50/x
3. Step 3: Cross multiply
   405,825x = 630,841.50 × 630,841.50
4. Step 4: Simplify right side
   405,825x = 397,960,998,122.25
5. Step 5: Solve for x
   x = 397,960,998,122.25/405,825
6. Step 6: Final answer
   x = 980,622.18