Finding the Third Proportional to 78,045 and 173,607

Step by Step Solution

1. Step 1: Write the proportion equation
   78,045 : 173,607 = 173,607 : x
2. Step 2: Convert to fraction form
   78,045/173,607 = 173,607/x
3. Step 3: Cross multiply
   78,045x = 173,607 × 173,607
4. Step 4: Simplify right side
   78,045x = 30,139,390,449
5. Step 5: Solve for x
   x = 30,139,390,449/78,045
6. Step 6: Final answer
   x = 386,179.65