Finding the Third Proportional to 99,646 and 215,036

Step by Step Solution

1. Step 1: Write the proportion equation
   99,646 : 215,036 = 215,036 : x
2. Step 2: Convert to fraction form
   99,646/215,036 = 215,036/x
3. Step 3: Cross multiply
   99,646x = 215,036 × 215,036
4. Step 4: Simplify right side
   99,646x = 46,240,481,296
5. Step 5: Solve for x
   x = 46,240,481,296/99,646
6. Step 6: Final answer
   x = 464,047.54