Finding the Third Proportional to 216,756 and 345,200

Step by Step Solution

1. Step 1: Write the proportion equation
   216,756 : 345,200 = 345,200 : x
2. Step 2: Convert to fraction form
   216,756/345,200 = 345,200/x
3. Step 3: Cross multiply
   216,756x = 345,200 × 345,200
4. Step 4: Simplify right side
   216,756x = 119,163,040,000
5. Step 5: Solve for x
   x = 119,163,040,000/216,756
6. Step 6: Final answer
   x = 549,756.59