Finding the Third Proportional to 123,096.38 and 265,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096.38 : 265,025.25 = 265,025.25 : x
2. Step 2: Convert to fraction form
   123,096.38/265,025.25 = 265,025.25/x
3. Step 3: Cross multiply
   123,096.38x = 265,025.25 × 265,025.25
4. Step 4: Simplify right side
   123,096.38x = 70,238,383,137.56
5. Step 5: Solve for x
   x = 70,238,383,137.56/123,096.38
6. Step 6: Final answer
   x = 570,596.68