Finding the Third Proportional to 78,843 and 175,182

Step by Step Solution

1. Step 1: Write the proportion equation
   78,843 : 175,182 = 175,182 : x
2. Step 2: Convert to fraction form
   78,843/175,182 = 175,182/x
3. Step 3: Cross multiply
   78,843x = 175,182 × 175,182
4. Step 4: Simplify right side
   78,843x = 30,688,733,124
5. Step 5: Solve for x
   x = 30,688,733,124/78,843
6. Step 6: Final answer
   x = 389,238.53