Finding the Third Proportional to 83,508 and 175,222

Step by Step Solution

1. Step 1: Write the proportion equation
   83,508 : 175,222 = 175,222 : x
2. Step 2: Convert to fraction form
   83,508/175,222 = 175,222/x
3. Step 3: Cross multiply
   83,508x = 175,222 × 175,222
4. Step 4: Simplify right side
   83,508x = 30,702,749,284
5. Step 5: Solve for x
   x = 30,702,749,284/83,508
6. Step 6: Final answer
   x = 367,662.37