Finding the Third Proportional to 78,390 and 169,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,390 : 169,164 = 169,164 : x
2. Step 2: Convert to fraction form
   78,390/169,164 = 169,164/x
3. Step 3: Cross multiply
   78,390x = 169,164 × 169,164
4. Step 4: Simplify right side
   78,390x = 28,616,458,896
5. Step 5: Solve for x
   x = 28,616,458,896/78,390
6. Step 6: Final answer
   x = 365,052.42