Finding the Third Proportional to 76,870 and 179,548

Step by Step Solution

1. Step 1: Write the proportion equation
   76,870 : 179,548 = 179,548 : x
2. Step 2: Convert to fraction form
   76,870/179,548 = 179,548/x
3. Step 3: Cross multiply
   76,870x = 179,548 × 179,548
4. Step 4: Simplify right side
   76,870x = 32,237,484,304
5. Step 5: Solve for x
   x = 32,237,484,304/76,870
6. Step 6: Final answer
   x = 419,376.67