Finding the Third Proportional to 188,536 and 390,200

Step by Step Solution

1. Step 1: Write the proportion equation
   188,536 : 390,200 = 390,200 : x
2. Step 2: Convert to fraction form
   188,536/390,200 = 390,200/x
3. Step 3: Cross multiply
   188,536x = 390,200 × 390,200
4. Step 4: Simplify right side
   188,536x = 152,256,040,000
5. Step 5: Solve for x
   x = 152,256,040,000/188,536
6. Step 6: Final answer
   x = 807,570.12