Finding the Third Proportional to 152,993 and 333,202

Step by Step Solution

1. Step 1: Write the proportion equation
   152,993 : 333,202 = 333,202 : x
2. Step 2: Convert to fraction form
   152,993/333,202 = 333,202/x
3. Step 3: Cross multiply
   152,993x = 333,202 × 333,202
4. Step 4: Simplify right side
   152,993x = 111,023,572,804
5. Step 5: Solve for x
   x = 111,023,572,804/152,993
6. Step 6: Final answer
   x = 725,677.47