Finding the Third Proportional to 105,460 and 162,846

Step by Step Solution

1. Step 1: Write the proportion equation
   105,460 : 162,846 = 162,846 : x
2. Step 2: Convert to fraction form
   105,460/162,846 = 162,846/x
3. Step 3: Cross multiply
   105,460x = 162,846 × 162,846
4. Step 4: Simplify right side
   105,460x = 26,518,819,716
5. Step 5: Solve for x
   x = 26,518,819,716/105,460
6. Step 6: Final answer
   x = 251,458.56