Finding the Third Proportional to 81,624 and 178,896

Step by Step Solution

1. Step 1: Write the proportion equation
   81,624 : 178,896 = 178,896 : x
2. Step 2: Convert to fraction form
   81,624/178,896 = 178,896/x
3. Step 3: Cross multiply
   81,624x = 178,896 × 178,896
4. Step 4: Simplify right side
   81,624x = 32,003,778,816
5. Step 5: Solve for x
   x = 32,003,778,816/81,624
6. Step 6: Final answer
   x = 392,087.85