Finding the Third Proportional to 100,848 and 214,944

Step by Step Solution

1. Step 1: Write the proportion equation
   100,848 : 214,944 = 214,944 : x
2. Step 2: Convert to fraction form
   100,848/214,944 = 214,944/x
3. Step 3: Cross multiply
   100,848x = 214,944 × 214,944
4. Step 4: Simplify right side
   100,848x = 46,200,923,136
5. Step 5: Solve for x
   x = 46,200,923,136/100,848
6. Step 6: Final answer
   x = 458,124.34