Finding the Third Proportional to 83,576 and 174,064

Step by Step Solution

1. Step 1: Write the proportion equation
   83,576 : 174,064 = 174,064 : x
2. Step 2: Convert to fraction form
   83,576/174,064 = 174,064/x
3. Step 3: Cross multiply
   83,576x = 174,064 × 174,064
4. Step 4: Simplify right side
   83,576x = 30,298,276,096
5. Step 5: Solve for x
   x = 30,298,276,096/83,576
6. Step 6: Final answer
   x = 362,523.64