Finding the Third Proportional to 85,192 and 185,256

Step by Step Solution

1. Step 1: Write the proportion equation
   85,192 : 185,256 = 185,256 : x
2. Step 2: Convert to fraction form
   85,192/185,256 = 185,256/x
3. Step 3: Cross multiply
   85,192x = 185,256 × 185,256
4. Step 4: Simplify right side
   85,192x = 34,319,785,536
5. Step 5: Solve for x
   x = 34,319,785,536/85,192
6. Step 6: Final answer
   x = 402,852.21