Finding the Third Proportional to 83,404 and 170,200

Step by Step Solution

1. Step 1: Write the proportion equation
   83,404 : 170,200 = 170,200 : x
2. Step 2: Convert to fraction form
   83,404/170,200 = 170,200/x
3. Step 3: Cross multiply
   83,404x = 170,200 × 170,200
4. Step 4: Simplify right side
   83,404x = 28,968,040,000
5. Step 5: Solve for x
   x = 28,968,040,000/83,404
6. Step 6: Final answer
   x = 347,321.95