Finding the Third Proportional to 99,229 and 213,434

Step by Step Solution

1. Step 1: Write the proportion equation
   99,229 : 213,434 = 213,434 : x
2. Step 2: Convert to fraction form
   99,229/213,434 = 213,434/x
3. Step 3: Cross multiply
   99,229x = 213,434 × 213,434
4. Step 4: Simplify right side
   99,229x = 45,554,072,356
5. Step 5: Solve for x
   x = 45,554,072,356/99,229
6. Step 6: Final answer
   x = 459,080.23