Finding the Third Proportional to 118,265 and 172,996

Step by Step Solution

1. Step 1: Write the proportion equation
   118,265 : 172,996 = 172,996 : x
2. Step 2: Convert to fraction form
   118,265/172,996 = 172,996/x
3. Step 3: Cross multiply
   118,265x = 172,996 × 172,996
4. Step 4: Simplify right side
   118,265x = 29,927,616,016
5. Step 5: Solve for x
   x = 29,927,616,016/118,265
6. Step 6: Final answer
   x = 253,055.56