Finding the Third Proportional to 116,672 and 256,672

Step by Step Solution

1. Step 1: Write the proportion equation
   116,672 : 256,672 = 256,672 : x
2. Step 2: Convert to fraction form
   116,672/256,672 = 256,672/x
3. Step 3: Cross multiply
   116,672x = 256,672 × 256,672
4. Step 4: Simplify right side
   116,672x = 65,880,515,584
5. Step 5: Solve for x
   x = 65,880,515,584/116,672
6. Step 6: Final answer
   x = 564,664.32