Finding the Third Proportional to 405,813 and 630,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,813 : 630,823.50 = 630,823.50 : x
2. Step 2: Convert to fraction form
   405,813/630,823.50 = 630,823.50/x
3. Step 3: Cross multiply
   405,813x = 630,823.50 × 630,823.50
4. Step 4: Simplify right side
   405,813x = 397,938,288,152.25
5. Step 5: Solve for x
   x = 397,938,288,152.25/405,813
6. Step 6: Final answer
   x = 980,595.22