Finding the Third Proportional to 152,010 and 333,207

Step by Step Solution

1. Step 1: Write the proportion equation
   152,010 : 333,207 = 333,207 : x
2. Step 2: Convert to fraction form
   152,010/333,207 = 333,207/x
3. Step 3: Cross multiply
   152,010x = 333,207 × 333,207
4. Step 4: Simplify right side
   152,010x = 111,026,904,849
5. Step 5: Solve for x
   x = 111,026,904,849/152,010
6. Step 6: Final answer
   x = 730,392.11