Finding the Third Proportional to 78,336 and 174,112

Step by Step Solution

1. Step 1: Write the proportion equation
   78,336 : 174,112 = 174,112 : x
2. Step 2: Convert to fraction form
   78,336/174,112 = 174,112/x
3. Step 3: Cross multiply
   78,336x = 174,112 × 174,112
4. Step 4: Simplify right side
   78,336x = 30,314,988,544
5. Step 5: Solve for x
   x = 30,314,988,544/78,336
6. Step 6: Final answer
   x = 386,986.68