Finding the Third Proportional to 76,669 and 179,084

Step by Step Solution

1. Step 1: Write the proportion equation
   76,669 : 179,084 = 179,084 : x
2. Step 2: Convert to fraction form
   76,669/179,084 = 179,084/x
3. Step 3: Cross multiply
   76,669x = 179,084 × 179,084
4. Step 4: Simplify right side
   76,669x = 32,071,079,056
5. Step 5: Solve for x
   x = 32,071,079,056/76,669
6. Step 6: Final answer
   x = 418,305.69