Finding the Third Proportional to 78,998 and 169,114

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998 : 169,114 = 169,114 : x
2. Step 2: Convert to fraction form
   78,998/169,114 = 169,114/x
3. Step 3: Cross multiply
   78,998x = 169,114 × 169,114
4. Step 4: Simplify right side
   78,998x = 28,599,544,996
5. Step 5: Solve for x
   x = 28,599,544,996/78,998
6. Step 6: Final answer
   x = 362,028.72