Finding the Third Proportional to 501,342 and 776,670

Step by Step Solution

1. Step 1: Write the proportion equation
   501,342 : 776,670 = 776,670 : x
2. Step 2: Convert to fraction form
   501,342/776,670 = 776,670/x
3. Step 3: Cross multiply
   501,342x = 776,670 × 776,670
4. Step 4: Simplify right side
   501,342x = 603,216,288,900
5. Step 5: Solve for x
   x = 603,216,288,900/501,342
6. Step 6: Final answer
   x = 1,203,203.18