Finding the Third Proportional to 101,182 and 222,191

Step by Step Solution

1. Step 1: Write the proportion equation
   101,182 : 222,191 = 222,191 : x
2. Step 2: Convert to fraction form
   101,182/222,191 = 222,191/x
3. Step 3: Cross multiply
   101,182x = 222,191 × 222,191
4. Step 4: Simplify right side
   101,182x = 49,368,840,481
5. Step 5: Solve for x
   x = 49,368,840,481/101,182
6. Step 6: Final answer
   x = 487,921.18