Finding the Third Proportional to 152,728 and 413,166

Step by Step Solution

1. Step 1: Write the proportion equation
   152,728 : 413,166 = 413,166 : x
2. Step 2: Convert to fraction form
   152,728/413,166 = 413,166/x
3. Step 3: Cross multiply
   152,728x = 413,166 × 413,166
4. Step 4: Simplify right side
   152,728x = 170,706,143,556
5. Step 5: Solve for x
   x = 170,706,143,556/152,728
6. Step 6: Final answer
   x = 1,117,713.47