Finding the Third Proportional to 78,764 and 170,648

Step by Step Solution

1. Step 1: Write the proportion equation
   78,764 : 170,648 = 170,648 : x
2. Step 2: Convert to fraction form
   78,764/170,648 = 170,648/x
3. Step 3: Cross multiply
   78,764x = 170,648 × 170,648
4. Step 4: Simplify right side
   78,764x = 29,120,739,904
5. Step 5: Solve for x
   x = 29,120,739,904/78,764
6. Step 6: Final answer
   x = 369,721.45