Finding the Third Proportional to 101,200 and 222,084

Step by Step Solution

1. Step 1: Write the proportion equation
   101,200 : 222,084 = 222,084 : x
2. Step 2: Convert to fraction form
   101,200/222,084 = 222,084/x
3. Step 3: Cross multiply
   101,200x = 222,084 × 222,084
4. Step 4: Simplify right side
   101,200x = 49,321,303,056
5. Step 5: Solve for x
   x = 49,321,303,056/101,200
6. Step 6: Final answer
   x = 487,364.65