Finding the Third Proportional to 116,642 and 172,503

Step by Step Solution

1. Step 1: Write the proportion equation
   116,642 : 172,503 = 172,503 : x
2. Step 2: Convert to fraction form
   116,642/172,503 = 172,503/x
3. Step 3: Cross multiply
   116,642x = 172,503 × 172,503
4. Step 4: Simplify right side
   116,642x = 29,757,285,009
5. Step 5: Solve for x
   x = 29,757,285,009/116,642
6. Step 6: Final answer
   x = 255,116.38