Finding the Third Proportional to 377,682.75 and 811,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,682.75 : 811,498.50 = 811,498.50 : x
2. Step 2: Convert to fraction form
   377,682.75/811,498.50 = 811,498.50/x
3. Step 3: Cross multiply
   377,682.75x = 811,498.50 × 811,498.50
4. Step 4: Simplify right side
   377,682.75x = 658,529,815,502.25
5. Step 5: Solve for x
   x = 658,529,815,502.25/377,682.75
6. Step 6: Final answer
   x = 1,743,605.75