Finding the Third Proportional to 100,280 and 214,384

Step by Step Solution

1. Step 1: Write the proportion equation
   100,280 : 214,384 = 214,384 : x
2. Step 2: Convert to fraction form
   100,280/214,384 = 214,384/x
3. Step 3: Cross multiply
   100,280x = 214,384 × 214,384
4. Step 4: Simplify right side
   100,280x = 45,960,499,456
5. Step 5: Solve for x
   x = 45,960,499,456/100,280
6. Step 6: Final answer
   x = 458,321.69