Finding the Third Proportional to 76,738 and 116,707

Step by Step Solution

1. Step 1: Write the proportion equation
   76,738 : 116,707 = 116,707 : x
2. Step 2: Convert to fraction form
   76,738/116,707 = 116,707/x
3. Step 3: Cross multiply
   76,738x = 116,707 × 116,707
4. Step 4: Simplify right side
   76,738x = 13,620,523,849
5. Step 5: Solve for x
   x = 13,620,523,849/76,738
6. Step 6: Final answer
   x = 177,493.86