Finding the Third Proportional to 78,570 and 169,590

Step by Step Solution

1. Step 1: Write the proportion equation
   78,570 : 169,590 = 169,590 : x
2. Step 2: Convert to fraction form
   78,570/169,590 = 169,590/x
3. Step 3: Cross multiply
   78,570x = 169,590 × 169,590
4. Step 4: Simplify right side
   78,570x = 28,760,768,100
5. Step 5: Solve for x
   x = 28,760,768,100/78,570
6. Step 6: Final answer
   x = 366,052.79