Finding the Third Proportional to 500,672 and 776,298

Step by Step Solution

1. Step 1: Write the proportion equation
   500,672 : 776,298 = 776,298 : x
2. Step 2: Convert to fraction form
   500,672/776,298 = 776,298/x
3. Step 3: Cross multiply
   500,672x = 776,298 × 776,298
4. Step 4: Simplify right side
   500,672x = 602,638,584,804
5. Step 5: Solve for x
   x = 602,638,584,804/500,672
6. Step 6: Final answer
   x = 1,203,659.45