Finding the Third Proportional to 81,726 and 175,962

Step by Step Solution

1. Step 1: Write the proportion equation
   81,726 : 175,962 = 175,962 : x
2. Step 2: Convert to fraction form
   81,726/175,962 = 175,962/x
3. Step 3: Cross multiply
   81,726x = 175,962 × 175,962
4. Step 4: Simplify right side
   81,726x = 30,962,625,444
5. Step 5: Solve for x
   x = 30,962,625,444/81,726
6. Step 6: Final answer
   x = 378,858.94