Finding the Third Proportional to 116,790 and 256,188

Step by Step Solution

1. Step 1: Write the proportion equation
   116,790 : 256,188 = 256,188 : x
2. Step 2: Convert to fraction form
   116,790/256,188 = 256,188/x
3. Step 3: Cross multiply
   116,790x = 256,188 × 256,188
4. Step 4: Simplify right side
   116,790x = 65,632,291,344
5. Step 5: Solve for x
   x = 65,632,291,344/116,790
6. Step 6: Final answer
   x = 561,968.42