Finding the Third Proportional to 102,440 and 222,832

Step by Step Solution

1. Step 1: Write the proportion equation
   102,440 : 222,832 = 222,832 : x
2. Step 2: Convert to fraction form
   102,440/222,832 = 222,832/x
3. Step 3: Cross multiply
   102,440x = 222,832 × 222,832
4. Step 4: Simplify right side
   102,440x = 49,654,100,224
5. Step 5: Solve for x
   x = 49,654,100,224/102,440
6. Step 6: Final answer
   x = 484,713.98