Finding the Third Proportional to 83,672 and 174,144

Step by Step Solution

1. Step 1: Write the proportion equation
   83,672 : 174,144 = 174,144 : x
2. Step 2: Convert to fraction form
   83,672/174,144 = 174,144/x
3. Step 3: Cross multiply
   83,672x = 174,144 × 174,144
4. Step 4: Simplify right side
   83,672x = 30,326,132,736
5. Step 5: Solve for x
   x = 30,326,132,736/83,672
6. Step 6: Final answer
   x = 362,440.63