Finding the Third Proportional to 105,340 and 162,510

Step by Step Solution

1. Step 1: Write the proportion equation
   105,340 : 162,510 = 162,510 : x
2. Step 2: Convert to fraction form
   105,340/162,510 = 162,510/x
3. Step 3: Cross multiply
   105,340x = 162,510 × 162,510
4. Step 4: Simplify right side
   105,340x = 26,409,500,100
5. Step 5: Solve for x
   x = 26,409,500,100/105,340
6. Step 6: Final answer
   x = 250,707.23