Finding the Third Proportional to 188,260 and 413,384

Step by Step Solution

1. Step 1: Write the proportion equation
   188,260 : 413,384 = 413,384 : x
2. Step 2: Convert to fraction form
   188,260/413,384 = 413,384/x
3. Step 3: Cross multiply
   188,260x = 413,384 × 413,384
4. Step 4: Simplify right side
   188,260x = 170,886,331,456
5. Step 5: Solve for x
   x = 170,886,331,456/188,260
6. Step 6: Final answer
   x = 907,714.50