Finding the Third Proportional to 116,880 and 180,792

Step by Step Solution

1. Step 1: Write the proportion equation
   116,880 : 180,792 = 180,792 : x
2. Step 2: Convert to fraction form
   116,880/180,792 = 180,792/x
3. Step 3: Cross multiply
   116,880x = 180,792 × 180,792
4. Step 4: Simplify right side
   116,880x = 32,685,747,264
5. Step 5: Solve for x
   x = 32,685,747,264/116,880
6. Step 6: Final answer
   x = 279,652.18