Finding the Third Proportional to 78,993 and 175,482

Step by Step Solution

1. Step 1: Write the proportion equation
   78,993 : 175,482 = 175,482 : x
2. Step 2: Convert to fraction form
   78,993/175,482 = 175,482/x
3. Step 3: Cross multiply
   78,993x = 175,482 × 175,482
4. Step 4: Simplify right side
   78,993x = 30,793,932,324
5. Step 5: Solve for x
   x = 30,793,932,324/78,993
6. Step 6: Final answer
   x = 389,831.15