Finding the Third Proportional to 152,420 and 333,898

Step by Step Solution

1. Step 1: Write the proportion equation
   152,420 : 333,898 = 333,898 : x
2. Step 2: Convert to fraction form
   152,420/333,898 = 333,898/x
3. Step 3: Cross multiply
   152,420x = 333,898 × 333,898
4. Step 4: Simplify right side
   152,420x = 111,487,874,404
5. Step 5: Solve for x
   x = 111,487,874,404/152,420
6. Step 6: Final answer
   x = 731,451.74