Finding the Third Proportional to 78,800 and 164,248

Step by Step Solution

1. Step 1: Write the proportion equation
   78,800 : 164,248 = 164,248 : x
2. Step 2: Convert to fraction form
   78,800/164,248 = 164,248/x
3. Step 3: Cross multiply
   78,800x = 164,248 × 164,248
4. Step 4: Simplify right side
   78,800x = 26,977,405,504
5. Step 5: Solve for x
   x = 26,977,405,504/78,800
6. Step 6: Final answer
   x = 342,352.86