Finding the Third Proportional to 78,689 and 169,942

Step by Step Solution

1. Step 1: Write the proportion equation
   78,689 : 169,942 = 169,942 : x
2. Step 2: Convert to fraction form
   78,689/169,942 = 169,942/x
3. Step 3: Cross multiply
   78,689x = 169,942 × 169,942
4. Step 4: Simplify right side
   78,689x = 28,880,283,364
5. Step 5: Solve for x
   x = 28,880,283,364/78,689
6. Step 6: Final answer
   x = 367,018.05