Finding the Third Proportional to 83,500 and 175,201

Step by Step Solution

1. Step 1: Write the proportion equation
   83,500 : 175,201 = 175,201 : x
2. Step 2: Convert to fraction form
   83,500/175,201 = 175,201/x
3. Step 3: Cross multiply
   83,500x = 175,201 × 175,201
4. Step 4: Simplify right side
   83,500x = 30,695,390,401
5. Step 5: Solve for x
   x = 30,695,390,401/83,500
6. Step 6: Final answer
   x = 367,609.47