Finding the Third Proportional to 81,600 and 172,998

Step by Step Solution

1. Step 1: Write the proportion equation
   81,600 : 172,998 = 172,998 : x
2. Step 2: Convert to fraction form
   81,600/172,998 = 172,998/x
3. Step 3: Cross multiply
   81,600x = 172,998 × 172,998
4. Step 4: Simplify right side
   81,600x = 29,928,308,004
5. Step 5: Solve for x
   x = 29,928,308,004/81,600
6. Step 6: Final answer
   x = 366,768.48