Finding the Third Proportional to 81,456 and 172,560

Step by Step Solution

1. Step 1: Write the proportion equation
   81,456 : 172,560 = 172,560 : x
2. Step 2: Convert to fraction form
   81,456/172,560 = 172,560/x
3. Step 3: Cross multiply
   81,456x = 172,560 × 172,560
4. Step 4: Simplify right side
   81,456x = 29,776,953,600
5. Step 5: Solve for x
   x = 29,776,953,600/81,456
6. Step 6: Final answer
   x = 365,558.75