Finding the Third Proportional to 99,849 and 213,738

Step by Step Solution

1. Step 1: Write the proportion equation
   99,849 : 213,738 = 213,738 : x
2. Step 2: Convert to fraction form
   99,849/213,738 = 213,738/x
3. Step 3: Cross multiply
   99,849x = 213,738 × 213,738
4. Step 4: Simplify right side
   99,849x = 45,683,932,644
5. Step 5: Solve for x
   x = 45,683,932,644/99,849
6. Step 6: Final answer
   x = 457,530.20