Finding the Third Proportional to 493,941 and 785,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   493,941 : 785,488.50 = 785,488.50 : x
2. Step 2: Convert to fraction form
   493,941/785,488.50 = 785,488.50/x
3. Step 3: Cross multiply
   493,941x = 785,488.50 × 785,488.50
4. Step 4: Simplify right side
   493,941x = 616,992,183,632.25
5. Step 5: Solve for x
   x = 616,992,183,632.25/493,941
6. Step 6: Final answer
   x = 1,249,121.22