Finding the Third Proportional to 116,688 and 256,188

Step by Step Solution

1. Step 1: Write the proportion equation
   116,688 : 256,188 = 256,188 : x
2. Step 2: Convert to fraction form
   116,688/256,188 = 256,188/x
3. Step 3: Cross multiply
   116,688x = 256,188 × 256,188
4. Step 4: Simplify right side
   116,688x = 65,632,291,344
5. Step 5: Solve for x
   x = 65,632,291,344/116,688
6. Step 6: Final answer
   x = 562,459.65