Finding the Third Proportional to 78,819 and 175,134

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 175,134 = 175,134 : x
2. Step 2: Convert to fraction form
   78,819/175,134 = 175,134/x
3. Step 3: Cross multiply
   78,819x = 175,134 × 175,134
4. Step 4: Simplify right side
   78,819x = 30,671,917,956
5. Step 5: Solve for x
   x = 30,671,917,956/78,819
6. Step 6: Final answer
   x = 389,143.71