Finding the Third Proportional to 93,546 and 205,200

Step by Step Solution

1. Step 1: Write the proportion equation
   93,546 : 205,200 = 205,200 : x
2. Step 2: Convert to fraction form
   93,546/205,200 = 205,200/x
3. Step 3: Cross multiply
   93,546x = 205,200 × 205,200
4. Step 4: Simplify right side
   93,546x = 42,107,040,000
5. Step 5: Solve for x
   x = 42,107,040,000/93,546
6. Step 6: Final answer
   x = 450,121.22