Finding the Third Proportional to 81,422 and 175,120

Step by Step Solution

1. Step 1: Write the proportion equation
   81,422 : 175,120 = 175,120 : x
2. Step 2: Convert to fraction form
   81,422/175,120 = 175,120/x
3. Step 3: Cross multiply
   81,422x = 175,120 × 175,120
4. Step 4: Simplify right side
   81,422x = 30,667,014,400
5. Step 5: Solve for x
   x = 30,667,014,400/81,422
6. Step 6: Final answer
   x = 376,642.85