Finding the Third Proportional to 78,956 and 114,286

Step by Step Solution

1. Step 1: Write the proportion equation
   78,956 : 114,286 = 114,286 : x
2. Step 2: Convert to fraction form
   78,956/114,286 = 114,286/x
3. Step 3: Cross multiply
   78,956x = 114,286 × 114,286
4. Step 4: Simplify right side
   78,956x = 13,061,289,796
5. Step 5: Solve for x
   x = 13,061,289,796/78,956
6. Step 6: Final answer
   x = 165,424.92