Finding the Third Proportional to 152,011 and 333,209

Step by Step Solution

1. Step 1: Write the proportion equation
   152,011 : 333,209 = 333,209 : x
2. Step 2: Convert to fraction form
   152,011/333,209 = 333,209/x
3. Step 3: Cross multiply
   152,011x = 333,209 × 333,209
4. Step 4: Simplify right side
   152,011x = 111,028,237,681
5. Step 5: Solve for x
   x = 111,028,237,681/152,011
6. Step 6: Final answer
   x = 730,396.07