Finding the Third Proportional to 81,066 and 174,244

Step by Step Solution

1. Step 1: Write the proportion equation
   81,066 : 174,244 = 174,244 : x
2. Step 2: Convert to fraction form
   81,066/174,244 = 174,244/x
3. Step 3: Cross multiply
   81,066x = 174,244 × 174,244
4. Step 4: Simplify right side
   81,066x = 30,360,971,536
5. Step 5: Solve for x
   x = 30,360,971,536/81,066
6. Step 6: Final answer
   x = 374,521.64