Finding the Third Proportional to 78,003 and 111,469

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 111,469 = 111,469 : x
2. Step 2: Convert to fraction form
   78,003/111,469 = 111,469/x
3. Step 3: Cross multiply
   78,003x = 111,469 × 111,469
4. Step 4: Simplify right side
   78,003x = 12,425,337,961
5. Step 5: Solve for x
   x = 12,425,337,961/78,003
6. Step 6: Final answer
   x = 159,293.08