Finding the Third Proportional to 116,680 and 256,688

Step by Step Solution

1. Step 1: Write the proportion equation
   116,680 : 256,688 = 256,688 : x
2. Step 2: Convert to fraction form
   116,680/256,688 = 256,688/x
3. Step 3: Cross multiply
   116,680x = 256,688 × 256,688
4. Step 4: Simplify right side
   116,680x = 65,888,729,344
5. Step 5: Solve for x
   x = 65,888,729,344/116,680
6. Step 6: Final answer
   x = 564,696.00