Finding the Third Proportional to 222,584 and 341,244

Step by Step Solution

1. Step 1: Write the proportion equation
   222,584 : 341,244 = 341,244 : x
2. Step 2: Convert to fraction form
   222,584/341,244 = 341,244/x
3. Step 3: Cross multiply
   222,584x = 341,244 × 341,244
4. Step 4: Simplify right side
   222,584x = 116,447,467,536
5. Step 5: Solve for x
   x = 116,447,467,536/222,584
6. Step 6: Final answer
   x = 523,161.90