Finding the Third Proportional to 81,216 and 123,984

Step by Step Solution

1. Step 1: Write the proportion equation
   81,216 : 123,984 = 123,984 : x
2. Step 2: Convert to fraction form
   81,216/123,984 = 123,984/x
3. Step 3: Cross multiply
   81,216x = 123,984 × 123,984
4. Step 4: Simplify right side
   81,216x = 15,372,032,256
5. Step 5: Solve for x
   x = 15,372,032,256/81,216
6. Step 6: Final answer
   x = 189,273.45