Finding the Third Proportional to 56,598 and 123,024

Step by Step Solution

1. Step 1: Write the proportion equation
   56,598 : 123,024 = 123,024 : x
2. Step 2: Convert to fraction form
   56,598/123,024 = 123,024/x
3. Step 3: Cross multiply
   56,598x = 123,024 × 123,024
4. Step 4: Simplify right side
   56,598x = 15,134,904,576
5. Step 5: Solve for x
   x = 15,134,904,576/56,598
6. Step 6: Final answer
   x = 267,410.59