Finding the Third Proportional to 102,444 and 222,840

Step by Step Solution

1. Step 1: Write the proportion equation
   102,444 : 222,840 = 222,840 : x
2. Step 2: Convert to fraction form
   102,444/222,840 = 222,840/x
3. Step 3: Cross multiply
   102,444x = 222,840 × 222,840
4. Step 4: Simplify right side
   102,444x = 49,657,665,600
5. Step 5: Solve for x
   x = 49,657,665,600/102,444
6. Step 6: Final answer
   x = 484,729.86