Finding the Third Proportional to 82,570 and 114,891

Step by Step Solution

1. Step 1: Write the proportion equation
   82,570 : 114,891 = 114,891 : x
2. Step 2: Convert to fraction form
   82,570/114,891 = 114,891/x
3. Step 3: Cross multiply
   82,570x = 114,891 × 114,891
4. Step 4: Simplify right side
   82,570x = 13,199,941,881
5. Step 5: Solve for x
   x = 13,199,941,881/82,570
6. Step 6: Final answer
   x = 159,863.65