Finding the Third Proportional to 501,334 and 776,658

Step by Step Solution

1. Step 1: Write the proportion equation
   501,334 : 776,658 = 776,658 : x
2. Step 2: Convert to fraction form
   501,334/776,658 = 776,658/x
3. Step 3: Cross multiply
   501,334x = 776,658 × 776,658
4. Step 4: Simplify right side
   501,334x = 603,197,648,964
5. Step 5: Solve for x
   x = 603,197,648,964/501,334
6. Step 6: Final answer
   x = 1,203,185.20