Finding the Third Proportional to 78,785 and 113,257

Step by Step Solution

1. Step 1: Write the proportion equation
   78,785 : 113,257 = 113,257 : x
2. Step 2: Convert to fraction form
   78,785/113,257 = 113,257/x
3. Step 3: Cross multiply
   78,785x = 113,257 × 113,257
4. Step 4: Simplify right side
   78,785x = 12,827,148,049
5. Step 5: Solve for x
   x = 12,827,148,049/78,785
6. Step 6: Final answer
   x = 162,812.06