Finding the Third Proportional to 83,567 and 175,333

Step by Step Solution

1. Step 1: Write the proportion equation
   83,567 : 175,333 = 175,333 : x
2. Step 2: Convert to fraction form
   83,567/175,333 = 175,333/x
3. Step 3: Cross multiply
   83,567x = 175,333 × 175,333
4. Step 4: Simplify right side
   83,567x = 30,741,660,889
5. Step 5: Solve for x
   x = 30,741,660,889/83,567
6. Step 6: Final answer
   x = 367,868.43