Finding the Third Proportional to 81,699 and 175,914

Step by Step Solution

1. Step 1: Write the proportion equation
   81,699 : 175,914 = 175,914 : x
2. Step 2: Convert to fraction form
   81,699/175,914 = 175,914/x
3. Step 3: Cross multiply
   81,699x = 175,914 × 175,914
4. Step 4: Simplify right side
   81,699x = 30,945,735,396
5. Step 5: Solve for x
   x = 30,945,735,396/81,699
6. Step 6: Final answer
   x = 378,777.41