Finding the Third Proportional to 116,411 and 172,434

Step by Step Solution

1. Step 1: Write the proportion equation
   116,411 : 172,434 = 172,434 : x
2. Step 2: Convert to fraction form
   116,411/172,434 = 172,434/x
3. Step 3: Cross multiply
   116,411x = 172,434 × 172,434
4. Step 4: Simplify right side
   116,411x = 29,733,484,356
5. Step 5: Solve for x
   x = 29,733,484,356/116,411
6. Step 6: Final answer
   x = 255,418.17