Finding the Third Proportional to 152,941 and 359,834

Step by Step Solution

1. Step 1: Write the proportion equation
   152,941 : 359,834 = 359,834 : x
2. Step 2: Convert to fraction form
   152,941/359,834 = 359,834/x
3. Step 3: Cross multiply
   152,941x = 359,834 × 359,834
4. Step 4: Simplify right side
   152,941x = 129,480,507,556
5. Step 5: Solve for x
   x = 129,480,507,556/152,941
6. Step 6: Final answer
   x = 846,604.30