Finding the Third Proportional to 109,056 and 159,984

Step by Step Solution

1. Step 1: Write the proportion equation
   109,056 : 159,984 = 159,984 : x
2. Step 2: Convert to fraction form
   109,056/159,984 = 159,984/x
3. Step 3: Cross multiply
   109,056x = 159,984 × 159,984
4. Step 4: Simplify right side
   109,056x = 25,594,880,256
5. Step 5: Solve for x
   x = 25,594,880,256/109,056
6. Step 6: Final answer
   x = 234,694.84