Finding the Third Proportional to 81,471 and 113,818

Step by Step Solution

1. Step 1: Write the proportion equation
   81,471 : 113,818 = 113,818 : x
2. Step 2: Convert to fraction form
   81,471/113,818 = 113,818/x
3. Step 3: Cross multiply
   81,471x = 113,818 × 113,818
4. Step 4: Simplify right side
   81,471x = 12,954,537,124
5. Step 5: Solve for x
   x = 12,954,537,124/81,471
6. Step 6: Final answer
   x = 159,007.96