Finding the Third Proportional to 133,856 and 215,256

Step by Step Solution

1. Step 1: Write the proportion equation
   133,856 : 215,256 = 215,256 : x
2. Step 2: Convert to fraction form
   133,856/215,256 = 215,256/x
3. Step 3: Cross multiply
   133,856x = 215,256 × 215,256
4. Step 4: Simplify right side
   133,856x = 46,335,145,536
5. Step 5: Solve for x
   x = 46,335,145,536/133,856
6. Step 6: Final answer
   x = 346,156.66