Finding the Third Proportional to 116,690 and 256,072

Step by Step Solution

1. Step 1: Write the proportion equation
   116,690 : 256,072 = 256,072 : x
2. Step 2: Convert to fraction form
   116,690/256,072 = 256,072/x
3. Step 3: Cross multiply
   116,690x = 256,072 × 256,072
4. Step 4: Simplify right side
   116,690x = 65,572,869,184
5. Step 5: Solve for x
   x = 65,572,869,184/116,690
6. Step 6: Final answer
   x = 561,940.78