Finding the Third Proportional to 172,848 and 375,204

Step by Step Solution

1. Step 1: Write the proportion equation
   172,848 : 375,204 = 375,204 : x
2. Step 2: Convert to fraction form
   172,848/375,204 = 375,204/x
3. Step 3: Cross multiply
   172,848x = 375,204 × 375,204
4. Step 4: Simplify right side
   172,848x = 140,778,041,616
5. Step 5: Solve for x
   x = 140,778,041,616/172,848
6. Step 6: Final answer
   x = 814,461.50