Finding the Third Proportional to 78,858 and 167,760

Step by Step Solution

1. Step 1: Write the proportion equation
   78,858 : 167,760 = 167,760 : x
2. Step 2: Convert to fraction form
   78,858/167,760 = 167,760/x
3. Step 3: Cross multiply
   78,858x = 167,760 × 167,760
4. Step 4: Simplify right side
   78,858x = 28,143,417,600
5. Step 5: Solve for x
   x = 28,143,417,600/78,858
6. Step 6: Final answer
   x = 356,887.29