Finding the Third Proportional to 57,536 and 123,069

Step by Step Solution

1. Step 1: Write the proportion equation
   57,536 : 123,069 = 123,069 : x
2. Step 2: Convert to fraction form
   57,536/123,069 = 123,069/x
3. Step 3: Cross multiply
   57,536x = 123,069 × 123,069
4. Step 4: Simplify right side
   57,536x = 15,145,978,761
5. Step 5: Solve for x
   x = 15,145,978,761/57,536
6. Step 6: Final answer
   x = 263,243.51