Finding the Third Proportional to 81,556 and 114,846

Step by Step Solution

1. Step 1: Write the proportion equation
   81,556 : 114,846 = 114,846 : x
2. Step 2: Convert to fraction form
   81,556/114,846 = 114,846/x
3. Step 3: Cross multiply
   81,556x = 114,846 × 114,846
4. Step 4: Simplify right side
   81,556x = 13,189,603,716
5. Step 5: Solve for x
   x = 13,189,603,716/81,556
6. Step 6: Final answer
   x = 161,724.50