Finding the Third Proportional to 78,068 and 173,608

Step by Step Solution

1. Step 1: Write the proportion equation
   78,068 : 173,608 = 173,608 : x
2. Step 2: Convert to fraction form
   78,068/173,608 = 173,608/x
3. Step 3: Cross multiply
   78,068x = 173,608 × 173,608
4. Step 4: Simplify right side
   78,068x = 30,139,737,664
5. Step 5: Solve for x
   x = 30,139,737,664/78,068
6. Step 6: Final answer
   x = 386,070.32