Finding the Third Proportional to 78,623 and 169,760

Step by Step Solution

1. Step 1: Write the proportion equation
   78,623 : 169,760 = 169,760 : x
2. Step 2: Convert to fraction form
   78,623/169,760 = 169,760/x
3. Step 3: Cross multiply
   78,623x = 169,760 × 169,760
4. Step 4: Simplify right side
   78,623x = 28,818,457,600
5. Step 5: Solve for x
   x = 28,818,457,600/78,623
6. Step 6: Final answer
   x = 366,539.79