Finding the Third Proportional to 123,149.25 and 265,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,149.25 : 265,297.50 = 265,297.50 : x
2. Step 2: Convert to fraction form
   123,149.25/265,297.50 = 265,297.50/x
3. Step 3: Cross multiply
   123,149.25x = 265,297.50 × 265,297.50
4. Step 4: Simplify right side
   123,149.25x = 70,382,763,506.25
5. Step 5: Solve for x
   x = 70,382,763,506.25/123,149.25
6. Step 6: Final answer
   x = 571,524.09