Finding the Third Proportional to 123,637.50 and 264,771

Step by Step Solution

1. Step 1: Write the proportion equation
   123,637.50 : 264,771 = 264,771 : x
2. Step 2: Convert to fraction form
   123,637.50/264,771 = 264,771/x
3. Step 3: Cross multiply
   123,637.50x = 264,771 × 264,771
4. Step 4: Simplify right side
   123,637.50x = 70,103,682,441
5. Step 5: Solve for x
   x = 70,103,682,441/123,637.50
6. Step 6: Final answer
   x = 567,009.87