Finding the Third Proportional to 83,522 and 173,956

Step by Step Solution

1. Step 1: Write the proportion equation
   83,522 : 173,956 = 173,956 : x
2. Step 2: Convert to fraction form
   83,522/173,956 = 173,956/x
3. Step 3: Cross multiply
   83,522x = 173,956 × 173,956
4. Step 4: Simplify right side
   83,522x = 30,260,689,936
5. Step 5: Solve for x
   x = 30,260,689,936/83,522
6. Step 6: Final answer
   x = 362,308.01