Finding the Third Proportional to 188,640 and 268,200

Step by Step Solution

1. Step 1: Write the proportion equation
   188,640 : 268,200 = 268,200 : x
2. Step 2: Convert to fraction form
   188,640/268,200 = 268,200/x
3. Step 3: Cross multiply
   188,640x = 268,200 × 268,200
4. Step 4: Simplify right side
   188,640x = 71,931,240,000
5. Step 5: Solve for x
   x = 71,931,240,000/188,640
6. Step 6: Final answer
   x = 381,314.89