Finding the Third Proportional to 81,711 and 114,570

Step by Step Solution

1. Step 1: Write the proportion equation
   81,711 : 114,570 = 114,570 : x
2. Step 2: Convert to fraction form
   81,711/114,570 = 114,570/x
3. Step 3: Cross multiply
   81,711x = 114,570 × 114,570
4. Step 4: Simplify right side
   81,711x = 13,126,284,900
5. Step 5: Solve for x
   x = 13,126,284,900/81,711
6. Step 6: Final answer
   x = 160,642.81