Finding the Third Proportional to 83,572 and 174,056

Step by Step Solution

1. Step 1: Write the proportion equation
   83,572 : 174,056 = 174,056 : x
2. Step 2: Convert to fraction form
   83,572/174,056 = 174,056/x
3. Step 3: Cross multiply
   83,572x = 174,056 × 174,056
4. Step 4: Simplify right side
   83,572x = 30,295,491,136
5. Step 5: Solve for x
   x = 30,295,491,136/83,572
6. Step 6: Final answer
   x = 362,507.67