Finding the Third Proportional to 78,003 and 173,529

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 173,529 = 173,529 : x
2. Step 2: Convert to fraction form
   78,003/173,529 = 173,529/x
3. Step 3: Cross multiply
   78,003x = 173,529 × 173,529
4. Step 4: Simplify right side
   78,003x = 30,112,313,841
5. Step 5: Solve for x
   x = 30,112,313,841/78,003
6. Step 6: Final answer
   x = 386,040.46