Finding the Third Proportional to 99,412 and 213,654

Step by Step Solution

1. Step 1: Write the proportion equation
   99,412 : 213,654 = 213,654 : x
2. Step 2: Convert to fraction form
   99,412/213,654 = 213,654/x
3. Step 3: Cross multiply
   99,412x = 213,654 × 213,654
4. Step 4: Simplify right side
   99,412x = 45,648,031,716
5. Step 5: Solve for x
   x = 45,648,031,716/99,412
6. Step 6: Final answer
   x = 459,180.30