Finding the Third Proportional to 99,233 and 213,442

Step by Step Solution

1. Step 1: Write the proportion equation
   99,233 : 213,442 = 213,442 : x
2. Step 2: Convert to fraction form
   99,233/213,442 = 213,442/x
3. Step 3: Cross multiply
   99,233x = 213,442 × 213,442
4. Step 4: Simplify right side
   99,233x = 45,557,487,364
5. Step 5: Solve for x
   x = 45,557,487,364/99,233
6. Step 6: Final answer
   x = 459,096.14