Finding the Third Proportional to 168,200 and 253,016

Step by Step Solution

1. Step 1: Write the proportion equation
   168,200 : 253,016 = 253,016 : x
2. Step 2: Convert to fraction form
   168,200/253,016 = 253,016/x
3. Step 3: Cross multiply
   168,200x = 253,016 × 253,016
4. Step 4: Simplify right side
   168,200x = 64,017,096,256
5. Step 5: Solve for x
   x = 64,017,096,256/168,200
6. Step 6: Final answer
   x = 380,601.05