Finding the Third Proportional to 356,692 and 782,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   356,692 : 782,105.50 = 782,105.50 : x
2. Step 2: Convert to fraction form
   356,692/782,105.50 = 782,105.50/x
3. Step 3: Cross multiply
   356,692x = 782,105.50 × 782,105.50
4. Step 4: Simplify right side
   356,692x = 611,689,013,130.25
5. Step 5: Solve for x
   x = 611,689,013,130.25/356,692
6. Step 6: Final answer
   x = 1,714,894.12