Finding the Third Proportional to 117,072 and 256,443

Step by Step Solution

1. Step 1: Write the proportion equation
   117,072 : 256,443 = 256,443 : x
2. Step 2: Convert to fraction form
   117,072/256,443 = 256,443/x
3. Step 3: Cross multiply
   117,072x = 256,443 × 256,443
4. Step 4: Simplify right side
   117,072x = 65,763,012,249
5. Step 5: Solve for x
   x = 65,763,012,249/117,072
6. Step 6: Final answer
   x = 561,731.35