Finding the Third Proportional to 109,128 and 169,080

Step by Step Solution

1. Step 1: Write the proportion equation
   109,128 : 169,080 = 169,080 : x
2. Step 2: Convert to fraction form
   109,128/169,080 = 169,080/x
3. Step 3: Cross multiply
   109,128x = 169,080 × 169,080
4. Step 4: Simplify right side
   109,128x = 28,588,046,400
5. Step 5: Solve for x
   x = 28,588,046,400/109,128
6. Step 6: Final answer
   x = 261,968.02