Finding the Third Proportional to 152,416 and 333,890

Step by Step Solution

1. Step 1: Write the proportion equation
   152,416 : 333,890 = 333,890 : x
2. Step 2: Convert to fraction form
   152,416/333,890 = 333,890/x
3. Step 3: Cross multiply
   152,416x = 333,890 × 333,890
4. Step 4: Simplify right side
   152,416x = 111,482,532,100
5. Step 5: Solve for x
   x = 111,482,532,100/152,416
6. Step 6: Final answer
   x = 731,435.89