Finding the Third Proportional to 379,944 and 823,135.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,944 : 823,135.50 = 823,135.50 : x
2. Step 2: Convert to fraction form
   379,944/823,135.50 = 823,135.50/x
3. Step 3: Cross multiply
   379,944x = 823,135.50 × 823,135.50
4. Step 4: Simplify right side
   379,944x = 677,552,051,360.25
5. Step 5: Solve for x
   x = 677,552,051,360.25/379,944
6. Step 6: Final answer
   x = 1,783,294.52