Finding the Third Proportional to 188,380 and 264,018

Step by Step Solution

1. Step 1: Write the proportion equation
   188,380 : 264,018 = 264,018 : x
2. Step 2: Convert to fraction form
   188,380/264,018 = 264,018/x
3. Step 3: Cross multiply
   188,380x = 264,018 × 264,018
4. Step 4: Simplify right side
   188,380x = 69,705,504,324
5. Step 5: Solve for x
   x = 69,705,504,324/188,380
6. Step 6: Final answer
   x = 370,026.03