Finding the Third Proportional to 102,824 and 222,928

Step by Step Solution

1. Step 1: Write the proportion equation
   102,824 : 222,928 = 222,928 : x
2. Step 2: Convert to fraction form
   102,824/222,928 = 222,928/x
3. Step 3: Cross multiply
   102,824x = 222,928 × 222,928
4. Step 4: Simplify right side
   102,824x = 49,696,893,184
5. Step 5: Solve for x
   x = 49,696,893,184/102,824
6. Step 6: Final answer
   x = 483,319.98