Finding the Third Proportional to 105,260 and 162,946

Step by Step Solution

1. Step 1: Write the proportion equation
   105,260 : 162,946 = 162,946 : x
2. Step 2: Convert to fraction form
   105,260/162,946 = 162,946/x
3. Step 3: Cross multiply
   105,260x = 162,946 × 162,946
4. Step 4: Simplify right side
   105,260x = 26,551,398,916
5. Step 5: Solve for x
   x = 26,551,398,916/105,260
6. Step 6: Final answer
   x = 252,245.86