Finding the Third Proportional to 361,942.50 and 771,978

Step by Step Solution

1. Step 1: Write the proportion equation
   361,942.50 : 771,978 = 771,978 : x
2. Step 2: Convert to fraction form
   361,942.50/771,978 = 771,978/x
3. Step 3: Cross multiply
   361,942.50x = 771,978 × 771,978
4. Step 4: Simplify right side
   361,942.50x = 595,950,032,484
5. Step 5: Solve for x
   x = 595,950,032,484/361,942.50
6. Step 6: Final answer
   x = 1,646,532.34