Finding the Third Proportional to 101,230 and 222,142

Step by Step Solution

1. Step 1: Write the proportion equation
   101,230 : 222,142 = 222,142 : x
2. Step 2: Convert to fraction form
   101,230/222,142 = 222,142/x
3. Step 3: Cross multiply
   101,230x = 222,142 × 222,142
4. Step 4: Simplify right side
   101,230x = 49,347,068,164
5. Step 5: Solve for x
   x = 49,347,068,164/101,230
6. Step 6: Final answer
   x = 487,474.74