Finding the Third Proportional to 78,876 and 164,400

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 164,400 = 164,400 : x
2. Step 2: Convert to fraction form
   78,876/164,400 = 164,400/x
3. Step 3: Cross multiply
   78,876x = 164,400 × 164,400
4. Step 4: Simplify right side
   78,876x = 27,027,360,000
5. Step 5: Solve for x
   x = 27,027,360,000/78,876
6. Step 6: Final answer
   x = 342,656.32