Finding the Third Proportional to 168,204 and 253,012

Step by Step Solution

1. Step 1: Write the proportion equation
   168,204 : 253,012 = 253,012 : x
2. Step 2: Convert to fraction form
   168,204/253,012 = 253,012/x
3. Step 3: Cross multiply
   168,204x = 253,012 × 253,012
4. Step 4: Simplify right side
   168,204x = 64,015,072,144
5. Step 5: Solve for x
   x = 64,015,072,144/168,204
6. Step 6: Final answer
   x = 380,579.96