Finding the Third Proportional to 153,298 and 333,596

Step by Step Solution

1. Step 1: Write the proportion equation
   153,298 : 333,596 = 333,596 : x
2. Step 2: Convert to fraction form
   153,298/333,596 = 333,596/x
3. Step 3: Cross multiply
   153,298x = 333,596 × 333,596
4. Step 4: Simplify right side
   153,298x = 111,286,291,216
5. Step 5: Solve for x
   x = 111,286,291,216/153,298
6. Step 6: Final answer
   x = 725,947.44