Finding the Third Proportional to 250,752 and 384,072

Step by Step Solution

1. Step 1: Write the proportion equation
   250,752 : 384,072 = 384,072 : x
2. Step 2: Convert to fraction form
   250,752/384,072 = 384,072/x
3. Step 3: Cross multiply
   250,752x = 384,072 × 384,072
4. Step 4: Simplify right side
   250,752x = 147,511,301,184
5. Step 5: Solve for x
   x = 147,511,301,184/250,752
6. Step 6: Final answer
   x = 588,275.67