Finding the Third Proportional to 102,949 and 222,300

Step by Step Solution

1. Step 1: Write the proportion equation
   102,949 : 222,300 = 222,300 : x
2. Step 2: Convert to fraction form
   102,949/222,300 = 222,300/x
3. Step 3: Cross multiply
   102,949x = 222,300 × 222,300
4. Step 4: Simplify right side
   102,949x = 49,417,290,000
5. Step 5: Solve for x
   x = 49,417,290,000/102,949
6. Step 6: Final answer
   x = 480,017.19