Finding the Third Proportional to 82,574 and 114,895

Step by Step Solution

1. Step 1: Write the proportion equation
   82,574 : 114,895 = 114,895 : x
2. Step 2: Convert to fraction form
   82,574/114,895 = 114,895/x
3. Step 3: Cross multiply
   82,574x = 114,895 × 114,895
4. Step 4: Simplify right side
   82,574x = 13,200,861,025
5. Step 5: Solve for x
   x = 13,200,861,025/82,574
6. Step 6: Final answer
   x = 159,867.04