Finding the Third Proportional to 361,661 and 777,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   361,661 : 777,757.50 = 777,757.50 : x
2. Step 2: Convert to fraction form
   361,661/777,757.50 = 777,757.50/x
3. Step 3: Cross multiply
   361,661x = 777,757.50 × 777,757.50
4. Step 4: Simplify right side
   361,661x = 604,906,728,806.25
5. Step 5: Solve for x
   x = 604,906,728,806.25/361,661
6. Step 6: Final answer
   x = 1,672,579.37