Finding the Third Proportional to 126,389.25 and 275,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   126,389.25 : 275,096.25 = 275,096.25 : x
2. Step 2: Convert to fraction form
   126,389.25/275,096.25 = 275,096.25/x
3. Step 3: Cross multiply
   126,389.25x = 275,096.25 × 275,096.25
4. Step 4: Simplify right side
   126,389.25x = 75,677,946,764.06
5. Step 5: Solve for x
   x = 75,677,946,764.06/126,389.25
6. Step 6: Final answer
   x = 598,768.86