Finding the Third Proportional to 109,178 and 173,608

Step by Step Solution

1. Step 1: Write the proportion equation
   109,178 : 173,608 = 173,608 : x
2. Step 2: Convert to fraction form
   109,178/173,608 = 173,608/x
3. Step 3: Cross multiply
   109,178x = 173,608 × 173,608
4. Step 4: Simplify right side
   109,178x = 30,139,737,664
5. Step 5: Solve for x
   x = 30,139,737,664/109,178
6. Step 6: Final answer
   x = 276,060.54