Finding the Third Proportional to 152,003 and 338,958

Step by Step Solution

1. Step 1: Write the proportion equation
   152,003 : 338,958 = 338,958 : x
2. Step 2: Convert to fraction form
   152,003/338,958 = 338,958/x
3. Step 3: Cross multiply
   152,003x = 338,958 × 338,958
4. Step 4: Simplify right side
   152,003x = 114,892,525,764
5. Step 5: Solve for x
   x = 114,892,525,764/152,003
6. Step 6: Final answer
   x = 755,856.96