Finding the Third Proportional to 78,054 and 164,370

Step by Step Solution

1. Step 1: Write the proportion equation
   78,054 : 164,370 = 164,370 : x
2. Step 2: Convert to fraction form
   78,054/164,370 = 164,370/x
3. Step 3: Cross multiply
   78,054x = 164,370 × 164,370
4. Step 4: Simplify right side
   78,054x = 27,017,496,900
5. Step 5: Solve for x
   x = 27,017,496,900/78,054
6. Step 6: Final answer
   x = 346,138.53