Finding the Third Proportional to 76,002 and 116,990

Step by Step Solution

1. Step 1: Write the proportion equation
   76,002 : 116,990 = 116,990 : x
2. Step 2: Convert to fraction form
   76,002/116,990 = 116,990/x
3. Step 3: Cross multiply
   76,002x = 116,990 × 116,990
4. Step 4: Simplify right side
   76,002x = 13,686,660,100
5. Step 5: Solve for x
   x = 13,686,660,100/76,002
6. Step 6: Final answer
   x = 180,082.89