Finding the Third Proportional to 78,012 and 173,546

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 173,546 = 173,546 : x
2. Step 2: Convert to fraction form
   78,012/173,546 = 173,546/x
3. Step 3: Cross multiply
   78,012x = 173,546 × 173,546
4. Step 4: Simplify right side
   78,012x = 30,118,214,116
5. Step 5: Solve for x
   x = 30,118,214,116/78,012
6. Step 6: Final answer
   x = 386,071.55