Finding the Third Proportional to 333,069 and 722,298

Step by Step Solution

1. Step 1: Write the proportion equation
   333,069 : 722,298 = 722,298 : x
2. Step 2: Convert to fraction form
   333,069/722,298 = 722,298/x
3. Step 3: Cross multiply
   333,069x = 722,298 × 722,298
4. Step 4: Simplify right side
   333,069x = 521,714,400,804
5. Step 5: Solve for x
   x = 521,714,400,804/333,069
6. Step 6: Final answer
   x = 1,566,385.35