Finding the Third Proportional to 101,966 and 222,364

Step by Step Solution

1. Step 1: Write the proportion equation
   101,966 : 222,364 = 222,364 : x
2. Step 2: Convert to fraction form
   101,966/222,364 = 222,364/x
3. Step 3: Cross multiply
   101,966x = 222,364 × 222,364
4. Step 4: Simplify right side
   101,966x = 49,445,748,496
5. Step 5: Solve for x
   x = 49,445,748,496/101,966
6. Step 6: Final answer
   x = 484,923.88