Finding the Third Proportional to 99,948 and 213,144

Step by Step Solution

1. Step 1: Write the proportion equation
   99,948 : 213,144 = 213,144 : x
2. Step 2: Convert to fraction form
   99,948/213,144 = 213,144/x
3. Step 3: Cross multiply
   99,948x = 213,144 × 213,144
4. Step 4: Simplify right side
   99,948x = 45,430,364,736
5. Step 5: Solve for x
   x = 45,430,364,736/99,948
6. Step 6: Final answer
   x = 454,540.01