Finding the Third Proportional to 78,510 and 169,588

Step by Step Solution

1. Step 1: Write the proportion equation
   78,510 : 169,588 = 169,588 : x
2. Step 2: Convert to fraction form
   78,510/169,588 = 169,588/x
3. Step 3: Cross multiply
   78,510x = 169,588 × 169,588
4. Step 4: Simplify right side
   78,510x = 28,760,089,744
5. Step 5: Solve for x
   x = 28,760,089,744/78,510
6. Step 6: Final answer
   x = 366,323.90