Finding the Third Proportional to 248,313 and 384,414

Step by Step Solution

1. Step 1: Write the proportion equation
   248,313 : 384,414 = 384,414 : x
2. Step 2: Convert to fraction form
   248,313/384,414 = 384,414/x
3. Step 3: Cross multiply
   248,313x = 384,414 × 384,414
4. Step 4: Simplify right side
   248,313x = 147,774,123,396
5. Step 5: Solve for x
   x = 147,774,123,396/248,313
6. Step 6: Final answer
   x = 595,112.31