Finding the Third Proportional to 102,338 and 222,340

Step by Step Solution

1. Step 1: Write the proportion equation
   102,338 : 222,340 = 222,340 : x
2. Step 2: Convert to fraction form
   102,338/222,340 = 222,340/x
3. Step 3: Cross multiply
   102,338x = 222,340 × 222,340
4. Step 4: Simplify right side
   102,338x = 49,435,075,600
5. Step 5: Solve for x
   x = 49,435,075,600/102,338
6. Step 6: Final answer
   x = 483,056.89