Finding the Third Proportional to 73,920 and 178,216

Step by Step Solution

1. Step 1: Write the proportion equation
   73,920 : 178,216 = 178,216 : x
2. Step 2: Convert to fraction form
   73,920/178,216 = 178,216/x
3. Step 3: Cross multiply
   73,920x = 178,216 × 178,216
4. Step 4: Simplify right side
   73,920x = 31,760,942,656
5. Step 5: Solve for x
   x = 31,760,942,656/73,920
6. Step 6: Final answer
   x = 429,666.43