Finding the Third Proportional to 88,780 and 188,576

Step by Step Solution

1. Step 1: Write the proportion equation
   88,780 : 188,576 = 188,576 : x
2. Step 2: Convert to fraction form
   88,780/188,576 = 188,576/x
3. Step 3: Cross multiply
   88,780x = 188,576 × 188,576
4. Step 4: Simplify right side
   88,780x = 35,560,907,776
5. Step 5: Solve for x
   x = 35,560,907,776/88,780
6. Step 6: Final answer
   x = 400,550.89