Finding the Third Proportional to 81,148 and 175,256

Step by Step Solution

1. Step 1: Write the proportion equation
   81,148 : 175,256 = 175,256 : x
2. Step 2: Convert to fraction form
   81,148/175,256 = 175,256/x
3. Step 3: Cross multiply
   81,148x = 175,256 × 175,256
4. Step 4: Simplify right side
   81,148x = 30,714,665,536
5. Step 5: Solve for x
   x = 30,714,665,536/81,148
6. Step 6: Final answer
   x = 378,501.82