Finding the Third Proportional to 81,459 and 174,015

Step by Step Solution

1. Step 1: Write the proportion equation
   81,459 : 174,015 = 174,015 : x
2. Step 2: Convert to fraction form
   81,459/174,015 = 174,015/x
3. Step 3: Cross multiply
   81,459x = 174,015 × 174,015
4. Step 4: Simplify right side
   81,459x = 30,281,220,225
5. Step 5: Solve for x
   x = 30,281,220,225/81,459
6. Step 6: Final answer
   x = 371,735.72