Finding the Third Proportional to 257,056 and 384,072

Step by Step Solution

1. Step 1: Write the proportion equation
   257,056 : 384,072 = 384,072 : x
2. Step 2: Convert to fraction form
   257,056/384,072 = 384,072/x
3. Step 3: Cross multiply
   257,056x = 384,072 × 384,072
4. Step 4: Simplify right side
   257,056x = 147,511,301,184
5. Step 5: Solve for x
   x = 147,511,301,184/257,056
6. Step 6: Final answer
   x = 573,848.89