Finding the Third Proportional to 81,762 and 175,998

Step by Step Solution

1. Step 1: Write the proportion equation
   81,762 : 175,998 = 175,998 : x
2. Step 2: Convert to fraction form
   81,762/175,998 = 175,998/x
3. Step 3: Cross multiply
   81,762x = 175,998 × 175,998
4. Step 4: Simplify right side
   81,762x = 30,975,296,004
5. Step 5: Solve for x
   x = 30,975,296,004/81,762
6. Step 6: Final answer
   x = 378,847.09