Finding the Third Proportional to 78,860 and 167,764

Step by Step Solution

1. Step 1: Write the proportion equation
   78,860 : 167,764 = 167,764 : x
2. Step 2: Convert to fraction form
   78,860/167,764 = 167,764/x
3. Step 3: Cross multiply
   78,860x = 167,764 × 167,764
4. Step 4: Simplify right side
   78,860x = 28,144,759,696
5. Step 5: Solve for x
   x = 28,144,759,696/78,860
6. Step 6: Final answer
   x = 356,895.25