Finding the Third Proportional to 82,100.25 and 174,791.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,100.25 : 174,791.25 = 174,791.25 : x
2. Step 2: Convert to fraction form
   82,100.25/174,791.25 = 174,791.25/x
3. Step 3: Cross multiply
   82,100.25x = 174,791.25 × 174,791.25
4. Step 4: Simplify right side
   82,100.25x = 30,551,981,076.56
5. Step 5: Solve for x
   x = 30,551,981,076.56/82,100.25
6. Step 6: Final answer
   x = 372,130.18