Finding the Third Proportional to 102,495 and 222,942

Step by Step Solution

1. Step 1: Write the proportion equation
   102,495 : 222,942 = 222,942 : x
2. Step 2: Convert to fraction form
   102,495/222,942 = 222,942/x
3. Step 3: Cross multiply
   102,495x = 222,942 × 222,942
4. Step 4: Simplify right side
   102,495x = 49,703,135,364
5. Step 5: Solve for x
   x = 49,703,135,364/102,495
6. Step 6: Final answer
   x = 484,932.29