Finding the Third Proportional to 175,468 and 384,256

Step by Step Solution

1. Step 1: Write the proportion equation
   175,468 : 384,256 = 384,256 : x
2. Step 2: Convert to fraction form
   175,468/384,256 = 384,256/x
3. Step 3: Cross multiply
   175,468x = 384,256 × 384,256
4. Step 4: Simplify right side
   175,468x = 147,652,673,536
5. Step 5: Solve for x
   x = 147,652,673,536/175,468
6. Step 6: Final answer
   x = 841,479.21