Finding the Third Proportional to 57,527 and 123,051

Step by Step Solution

1. Step 1: Write the proportion equation
   57,527 : 123,051 = 123,051 : x
2. Step 2: Convert to fraction form
   57,527/123,051 = 123,051/x
3. Step 3: Cross multiply
   57,527x = 123,051 × 123,051
4. Step 4: Simplify right side
   57,527x = 15,141,548,601
5. Step 5: Solve for x
   x = 15,141,548,601/57,527
6. Step 6: Final answer
   x = 263,207.69