Finding the Third Proportional to 222,105 and 343,538

Step by Step Solution

1. Step 1: Write the proportion equation
   222,105 : 343,538 = 343,538 : x
2. Step 2: Convert to fraction form
   222,105/343,538 = 343,538/x
3. Step 3: Cross multiply
   222,105x = 343,538 × 343,538
4. Step 4: Simplify right side
   222,105x = 118,018,357,444
5. Step 5: Solve for x
   x = 118,018,357,444/222,105
6. Step 6: Final answer
   x = 531,362.90