Finding the Third Proportional to 105,080 and 159,560

Step by Step Solution

1. Step 1: Write the proportion equation
   105,080 : 159,560 = 159,560 : x
2. Step 2: Convert to fraction form
   105,080/159,560 = 159,560/x
3. Step 3: Cross multiply
   105,080x = 159,560 × 159,560
4. Step 4: Simplify right side
   105,080x = 25,459,393,600
5. Step 5: Solve for x
   x = 25,459,393,600/105,080
6. Step 6: Final answer
   x = 242,285.82