Finding the Third Proportional to 116,418 and 172,443

Step by Step Solution

1. Step 1: Write the proportion equation
   116,418 : 172,443 = 172,443 : x
2. Step 2: Convert to fraction form
   116,418/172,443 = 172,443/x
3. Step 3: Cross multiply
   116,418x = 172,443 × 172,443
4. Step 4: Simplify right side
   116,418x = 29,736,588,249
5. Step 5: Solve for x
   x = 29,736,588,249/116,418
6. Step 6: Final answer
   x = 255,429.47