Finding the Third Proportional to 105,204 and 163,200

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 163,200 = 163,200 : x
2. Step 2: Convert to fraction form
   105,204/163,200 = 163,200/x
3. Step 3: Cross multiply
   105,204x = 163,200 × 163,200
4. Step 4: Simplify right side
   105,204x = 26,634,240,000
5. Step 5: Solve for x
   x = 26,634,240,000/105,204
6. Step 6: Final answer
   x = 253,167.56