Finding the Third Proportional to 82,978 and 123,440

Step by Step Solution

1. Step 1: Write the proportion equation
   82,978 : 123,440 = 123,440 : x
2. Step 2: Convert to fraction form
   82,978/123,440 = 123,440/x
3. Step 3: Cross multiply
   82,978x = 123,440 × 123,440
4. Step 4: Simplify right side
   82,978x = 15,237,433,600
5. Step 5: Solve for x
   x = 15,237,433,600/82,978
6. Step 6: Final answer
   x = 183,632.21