Finding the Third Proportional to 152,888 and 359,734

Step by Step Solution

1. Step 1: Write the proportion equation
   152,888 : 359,734 = 359,734 : x
2. Step 2: Convert to fraction form
   152,888/359,734 = 359,734/x
3. Step 3: Cross multiply
   152,888x = 359,734 × 359,734
4. Step 4: Simplify right side
   152,888x = 129,408,550,756
5. Step 5: Solve for x
   x = 129,408,550,756/152,888
6. Step 6: Final answer
   x = 846,427.13