Finding the Third Proportional to 78,950 and 173,664

Step by Step Solution

1. Step 1: Write the proportion equation
   78,950 : 173,664 = 173,664 : x
2. Step 2: Convert to fraction form
   78,950/173,664 = 173,664/x
3. Step 3: Cross multiply
   78,950x = 173,664 × 173,664
4. Step 4: Simplify right side
   78,950x = 30,159,184,896
5. Step 5: Solve for x
   x = 30,159,184,896/78,950
6. Step 6: Final answer
   x = 382,003.61