Finding the Third Proportional to 78,048 and 164,358

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 164,358 = 164,358 : x
2. Step 2: Convert to fraction form
   78,048/164,358 = 164,358/x
3. Step 3: Cross multiply
   78,048x = 164,358 × 164,358
4. Step 4: Simplify right side
   78,048x = 27,013,552,164
5. Step 5: Solve for x
   x = 27,013,552,164/78,048
6. Step 6: Final answer
   x = 346,114.60