Finding the Third Proportional to 152,013 and 333,213

Step by Step Solution

1. Step 1: Write the proportion equation
   152,013 : 333,213 = 333,213 : x
2. Step 2: Convert to fraction form
   152,013/333,213 = 333,213/x
3. Step 3: Cross multiply
   152,013x = 333,213 × 333,213
4. Step 4: Simplify right side
   152,013x = 111,030,903,369
5. Step 5: Solve for x
   x = 111,030,903,369/152,013
6. Step 6: Final answer
   x = 730,404.00