Finding the Third Proportional to 82,232 and 123,024

Step by Step Solution

1. Step 1: Write the proportion equation
   82,232 : 123,024 = 123,024 : x
2. Step 2: Convert to fraction form
   82,232/123,024 = 123,024/x
3. Step 3: Cross multiply
   82,232x = 123,024 × 123,024
4. Step 4: Simplify right side
   82,232x = 15,134,904,576
5. Step 5: Solve for x
   x = 15,134,904,576/82,232
6. Step 6: Final answer
   x = 184,051.28