Finding the Third Proportional to 188,848 and 413,984

Step by Step Solution

1. Step 1: Write the proportion equation
   188,848 : 413,984 = 413,984 : x
2. Step 2: Convert to fraction form
   188,848/413,984 = 413,984/x
3. Step 3: Cross multiply
   188,848x = 413,984 × 413,984
4. Step 4: Simplify right side
   188,848x = 171,382,752,256
5. Step 5: Solve for x
   x = 171,382,752,256/188,848
6. Step 6: Final answer
   x = 907,516.90