Finding the Third Proportional to 411,007.50 and 644,915.25

Step by Step Solution

1. Step 1: Write the proportion equation
   411,007.50 : 644,915.25 = 644,915.25 : x
2. Step 2: Convert to fraction form
   411,007.50/644,915.25 = 644,915.25/x
3. Step 3: Cross multiply
   411,007.50x = 644,915.25 × 644,915.25
4. Step 4: Simplify right side
   411,007.50x = 415,915,679,682.56
5. Step 5: Solve for x
   x = 415,915,679,682.56/411,007.50
6. Step 6: Final answer
   x = 1,011,941.83