Finding the Third Proportional to 83,575 and 174,062

Step by Step Solution

1. Step 1: Write the proportion equation
   83,575 : 174,062 = 174,062 : x
2. Step 2: Convert to fraction form
   83,575/174,062 = 174,062/x
3. Step 3: Cross multiply
   83,575x = 174,062 × 174,062
4. Step 4: Simplify right side
   83,575x = 30,297,579,844
5. Step 5: Solve for x
   x = 30,297,579,844/83,575
6. Step 6: Final answer
   x = 362,519.65