Finding the Third Proportional to 250,788 and 384,054

Step by Step Solution

1. Step 1: Write the proportion equation
   250,788 : 384,054 = 384,054 : x
2. Step 2: Convert to fraction form
   250,788/384,054 = 384,054/x
3. Step 3: Cross multiply
   250,788x = 384,054 × 384,054
4. Step 4: Simplify right side
   250,788x = 147,497,474,916
5. Step 5: Solve for x
   x = 147,497,474,916/250,788
6. Step 6: Final answer
   x = 588,136.09