Finding the Third Proportional to 118,719 and 256,164

Step by Step Solution

1. Step 1: Write the proportion equation
   118,719 : 256,164 = 256,164 : x
2. Step 2: Convert to fraction form
   118,719/256,164 = 256,164/x
3. Step 3: Cross multiply
   118,719x = 256,164 × 256,164
4. Step 4: Simplify right side
   118,719x = 65,619,994,896
5. Step 5: Solve for x
   x = 65,619,994,896/118,719
6. Step 6: Final answer
   x = 552,733.72