Finding the Third Proportional to 78,840 and 119,078

Step by Step Solution

1. Step 1: Write the proportion equation
   78,840 : 119,078 = 119,078 : x
2. Step 2: Convert to fraction form
   78,840/119,078 = 119,078/x
3. Step 3: Cross multiply
   78,840x = 119,078 × 119,078
4. Step 4: Simplify right side
   78,840x = 14,179,570,084
5. Step 5: Solve for x
   x = 14,179,570,084/78,840
6. Step 6: Final answer
   x = 179,852.49