Finding the Third Proportional to 103,422 and 162,510

Step by Step Solution

1. Step 1: Write the proportion equation
   103,422 : 162,510 = 162,510 : x
2. Step 2: Convert to fraction form
   103,422/162,510 = 162,510/x
3. Step 3: Cross multiply
   103,422x = 162,510 × 162,510
4. Step 4: Simplify right side
   103,422x = 26,409,500,100
5. Step 5: Solve for x
   x = 26,409,500,100/103,422
6. Step 6: Final answer
   x = 255,356.69