Finding the Third Proportional to 114,192 and 173,984

Step by Step Solution

1. Step 1: Write the proportion equation
   114,192 : 173,984 = 173,984 : x
2. Step 2: Convert to fraction form
   114,192/173,984 = 173,984/x
3. Step 3: Cross multiply
   114,192x = 173,984 × 173,984
4. Step 4: Simplify right side
   114,192x = 30,270,432,256
5. Step 5: Solve for x
   x = 30,270,432,256/114,192
6. Step 6: Final answer
   x = 265,083.65