Finding the Third Proportional to 123,645.38 and 264,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,645.38 : 264,782.25 = 264,782.25 : x
2. Step 2: Convert to fraction form
   123,645.38/264,782.25 = 264,782.25/x
3. Step 3: Cross multiply
   123,645.38x = 264,782.25 × 264,782.25
4. Step 4: Simplify right side
   123,645.38x = 70,109,639,915.06
5. Step 5: Solve for x
   x = 70,109,639,915.06/123,645.38
6. Step 6: Final answer
   x = 567,021.94