Finding the Third Proportional to 99,901 and 212,514

Step by Step Solution

1. Step 1: Write the proportion equation
   99,901 : 212,514 = 212,514 : x
2. Step 2: Convert to fraction form
   99,901/212,514 = 212,514/x
3. Step 3: Cross multiply
   99,901x = 212,514 × 212,514
4. Step 4: Simplify right side
   99,901x = 45,162,200,196
5. Step 5: Solve for x
   x = 45,162,200,196/99,901
6. Step 6: Final answer
   x = 452,069.55