Finding the Third Proportional to 152,945 and 359,843

Step by Step Solution

1. Step 1: Write the proportion equation
   152,945 : 359,843 = 359,843 : x
2. Step 2: Convert to fraction form
   152,945/359,843 = 359,843/x
3. Step 3: Cross multiply
   152,945x = 359,843 × 359,843
4. Step 4: Simplify right side
   152,945x = 129,486,984,649
5. Step 5: Solve for x
   x = 129,486,984,649/152,945
6. Step 6: Final answer
   x = 846,624.50