Finding the Third Proportional to 152,106 and 339,204

Step by Step Solution

1. Step 1: Write the proportion equation
   152,106 : 339,204 = 339,204 : x
2. Step 2: Convert to fraction form
   152,106/339,204 = 339,204/x
3. Step 3: Cross multiply
   152,106x = 339,204 × 339,204
4. Step 4: Simplify right side
   152,106x = 115,059,353,616
5. Step 5: Solve for x
   x = 115,059,353,616/152,106
6. Step 6: Final answer
   x = 756,441.91