Finding the Third Proportional to 153,292 and 333,584

Step by Step Solution

1. Step 1: Write the proportion equation
   153,292 : 333,584 = 333,584 : x
2. Step 2: Convert to fraction form
   153,292/333,584 = 333,584/x
3. Step 3: Cross multiply
   153,292x = 333,584 × 333,584
4. Step 4: Simplify right side
   153,292x = 111,278,285,056
5. Step 5: Solve for x
   x = 111,278,285,056/153,292
6. Step 6: Final answer
   x = 725,923.63