Finding the Third Proportional to 53,776 and 116,880

Step by Step Solution

1. Step 1: Write the proportion equation
   53,776 : 116,880 = 116,880 : x
2. Step 2: Convert to fraction form
   53,776/116,880 = 116,880/x
3. Step 3: Cross multiply
   53,776x = 116,880 × 116,880
4. Step 4: Simplify right side
   53,776x = 13,660,934,400
5. Step 5: Solve for x
   x = 13,660,934,400/53,776
6. Step 6: Final answer
   x = 254,034.04