Finding the Third Proportional to 78,994 and 174,004

Step by Step Solution

1. Step 1: Write the proportion equation
   78,994 : 174,004 = 174,004 : x
2. Step 2: Convert to fraction form
   78,994/174,004 = 174,004/x
3. Step 3: Cross multiply
   78,994x = 174,004 × 174,004
4. Step 4: Simplify right side
   78,994x = 30,277,392,016
5. Step 5: Solve for x
   x = 30,277,392,016/78,994
6. Step 6: Final answer
   x = 383,287.24