Finding the Third Proportional to 80,570 and 113,259

Step by Step Solution

1. Step 1: Write the proportion equation
   80,570 : 113,259 = 113,259 : x
2. Step 2: Convert to fraction form
   80,570/113,259 = 113,259/x
3. Step 3: Cross multiply
   80,570x = 113,259 × 113,259
4. Step 4: Simplify right side
   80,570x = 12,827,601,081
5. Step 5: Solve for x
   x = 12,827,601,081/80,570
6. Step 6: Final answer
   x = 159,210.64