Finding the Third Proportional to 83,493 and 173,889

Step by Step Solution

1. Step 1: Write the proportion equation
   83,493 : 173,889 = 173,889 : x
2. Step 2: Convert to fraction form
   83,493/173,889 = 173,889/x
3. Step 3: Cross multiply
   83,493x = 173,889 × 173,889
4. Step 4: Simplify right side
   83,493x = 30,237,384,321
5. Step 5: Solve for x
   x = 30,237,384,321/83,493
6. Step 6: Final answer
   x = 362,154.72