Finding the Third Proportional to 78,320 and 174,080

Step by Step Solution

1. Step 1: Write the proportion equation
   78,320 : 174,080 = 174,080 : x
2. Step 2: Convert to fraction form
   78,320/174,080 = 174,080/x
3. Step 3: Cross multiply
   78,320x = 174,080 × 174,080
4. Step 4: Simplify right side
   78,320x = 30,303,846,400
5. Step 5: Solve for x
   x = 30,303,846,400/78,320
6. Step 6: Final answer
   x = 386,923.47