Finding the Third Proportional to 78,944 and 169,120

Step by Step Solution

1. Step 1: Write the proportion equation
   78,944 : 169,120 = 169,120 : x
2. Step 2: Convert to fraction form
   78,944/169,120 = 169,120/x
3. Step 3: Cross multiply
   78,944x = 169,120 × 169,120
4. Step 4: Simplify right side
   78,944x = 28,601,574,400
5. Step 5: Solve for x
   x = 28,601,574,400/78,944
6. Step 6: Final answer
   x = 362,302.07