Finding the Third Proportional to 222,596 and 341,256

Step by Step Solution

1. Step 1: Write the proportion equation
   222,596 : 341,256 = 341,256 : x
2. Step 2: Convert to fraction form
   222,596/341,256 = 341,256/x
3. Step 3: Cross multiply
   222,596x = 341,256 × 341,256
4. Step 4: Simplify right side
   222,596x = 116,455,657,536
5. Step 5: Solve for x
   x = 116,455,657,536/222,596
6. Step 6: Final answer
   x = 523,170.49