Finding the Third Proportional to 78,003 and 168,885

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 168,885 = 168,885 : x
2. Step 2: Convert to fraction form
   78,003/168,885 = 168,885/x
3. Step 3: Cross multiply
   78,003x = 168,885 × 168,885
4. Step 4: Simplify right side
   78,003x = 28,522,143,225
5. Step 5: Solve for x
   x = 28,522,143,225/78,003
6. Step 6: Final answer
   x = 365,654.44