Finding the Third Proportional to 215,256 and 295,488

Step by Step Solution

1. Step 1: Write the proportion equation
   215,256 : 295,488 = 295,488 : x
2. Step 2: Convert to fraction form
   215,256/295,488 = 295,488/x
3. Step 3: Cross multiply
   215,256x = 295,488 × 295,488
4. Step 4: Simplify right side
   215,256x = 87,313,158,144
5. Step 5: Solve for x
   x = 87,313,158,144/215,256
6. Step 6: Final answer
   x = 405,624.74