Finding the Third Proportional to 85,311 and 180,456

Step by Step Solution

1. Step 1: Write the proportion equation
   85,311 : 180,456 = 180,456 : x
2. Step 2: Convert to fraction form
   85,311/180,456 = 180,456/x
3. Step 3: Cross multiply
   85,311x = 180,456 × 180,456
4. Step 4: Simplify right side
   85,311x = 32,564,367,936
5. Step 5: Solve for x
   x = 32,564,367,936/85,311
6. Step 6: Final answer
   x = 381,713.59