Finding the Third Proportional to 31,178 and 75,479

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178 : 75,479 = 75,479 : x
2. Step 2: Convert to fraction form
   31,178/75,479 = 75,479/x
3. Step 3: Cross multiply
   31,178x = 75,479 × 75,479
4. Step 4: Simplify right side
   31,178x = 5,697,079,441
5. Step 5: Solve for x
   x = 5,697,079,441/31,178
6. Step 6: Final answer
   x = 182,727.55