Finding the Third Proportional to 152,242 and 333,643

Step by Step Solution

1. Step 1: Write the proportion equation
   152,242 : 333,643 = 333,643 : x
2. Step 2: Convert to fraction form
   152,242/333,643 = 333,643/x
3. Step 3: Cross multiply
   152,242x = 333,643 × 333,643
4. Step 4: Simplify right side
   152,242x = 111,317,651,449
5. Step 5: Solve for x
   x = 111,317,651,449/152,242
6. Step 6: Final answer
   x = 731,188.84