Finding the Third Proportional to 101,996 and 222,136

Step by Step Solution

1. Step 1: Write the proportion equation
   101,996 : 222,136 = 222,136 : x
2. Step 2: Convert to fraction form
   101,996/222,136 = 222,136/x
3. Step 3: Cross multiply
   101,996x = 222,136 × 222,136
4. Step 4: Simplify right side
   101,996x = 49,344,402,496
5. Step 5: Solve for x
   x = 49,344,402,496/101,996
6. Step 6: Final answer
   x = 483,787.62