Finding the Third Proportional to 78,942 and 169,080

Step by Step Solution

1. Step 1: Write the proportion equation
   78,942 : 169,080 = 169,080 : x
2. Step 2: Convert to fraction form
   78,942/169,080 = 169,080/x
3. Step 3: Cross multiply
   78,942x = 169,080 × 169,080
4. Step 4: Simplify right side
   78,942x = 28,588,046,400
5. Step 5: Solve for x
   x = 28,588,046,400/78,942
6. Step 6: Final answer
   x = 362,139.88