Finding the Third Proportional to 99,944 and 214,056

Step by Step Solution

1. Step 1: Write the proportion equation
   99,944 : 214,056 = 214,056 : x
2. Step 2: Convert to fraction form
   99,944/214,056 = 214,056/x
3. Step 3: Cross multiply
   99,944x = 214,056 × 214,056
4. Step 4: Simplify right side
   99,944x = 45,819,971,136
5. Step 5: Solve for x
   x = 45,819,971,136/99,944
6. Step 6: Final answer
   x = 458,456.45