Finding the Third Proportional to 123,150.38 and 265,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,150.38 : 265,538.25 = 265,538.25 : x
2. Step 2: Convert to fraction form
   123,150.38/265,538.25 = 265,538.25/x
3. Step 3: Cross multiply
   123,150.38x = 265,538.25 × 265,538.25
4. Step 4: Simplify right side
   123,150.38x = 70,510,562,213.06
5. Step 5: Solve for x
   x = 70,510,562,213.06/123,150.38
6. Step 6: Final answer
   x = 572,556.62