Finding the Third Proportional to 81,348 and 123,024

Step by Step Solution

1. Step 1: Write the proportion equation
   81,348 : 123,024 = 123,024 : x
2. Step 2: Convert to fraction form
   81,348/123,024 = 123,024/x
3. Step 3: Cross multiply
   81,348x = 123,024 × 123,024
4. Step 4: Simplify right side
   81,348x = 15,134,904,576
5. Step 5: Solve for x
   x = 15,134,904,576/81,348
6. Step 6: Final answer
   x = 186,051.34