Finding the Third Proportional to 76,796 and 116,267

Step by Step Solution

1. Step 1: Write the proportion equation
   76,796 : 116,267 = 116,267 : x
2. Step 2: Convert to fraction form
   76,796/116,267 = 116,267/x
3. Step 3: Cross multiply
   76,796x = 116,267 × 116,267
4. Step 4: Simplify right side
   76,796x = 13,518,015,289
5. Step 5: Solve for x
   x = 13,518,015,289/76,796
6. Step 6: Final answer
   x = 176,024.99