Finding the Third Proportional to 168,204 and 253,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   168,204 : 253,012.50 = 253,012.50 : x
2. Step 2: Convert to fraction form
   168,204/253,012.50 = 253,012.50/x
3. Step 3: Cross multiply
   168,204x = 253,012.50 × 253,012.50
4. Step 4: Simplify right side
   168,204x = 64,015,325,156.25
5. Step 5: Solve for x
   x = 64,015,325,156.25/168,204
6. Step 6: Final answer
   x = 380,581.47