Finding the Third Proportional to 98,853 and 213,144

Step by Step Solution

1. Step 1: Write the proportion equation
   98,853 : 213,144 = 213,144 : x
2. Step 2: Convert to fraction form
   98,853/213,144 = 213,144/x
3. Step 3: Cross multiply
   98,853x = 213,144 × 213,144
4. Step 4: Simplify right side
   98,853x = 45,430,364,736
5. Step 5: Solve for x
   x = 45,430,364,736/98,853
6. Step 6: Final answer
   x = 459,574.97