Finding the Third Proportional to 53,160 and 116,640

Step by Step Solution

1. Step 1: Write the proportion equation
   53,160 : 116,640 = 116,640 : x
2. Step 2: Convert to fraction form
   53,160/116,640 = 116,640/x
3. Step 3: Cross multiply
   53,160x = 116,640 × 116,640
4. Step 4: Simplify right side
   53,160x = 13,604,889,600
5. Step 5: Solve for x
   x = 13,604,889,600/53,160
6. Step 6: Final answer
   x = 255,923.43