Finding the Third Proportional to 53,280 and 116,928

Step by Step Solution

1. Step 1: Write the proportion equation
   53,280 : 116,928 = 116,928 : x
2. Step 2: Convert to fraction form
   53,280/116,928 = 116,928/x
3. Step 3: Cross multiply
   53,280x = 116,928 × 116,928
4. Step 4: Simplify right side
   53,280x = 13,672,157,184
5. Step 5: Solve for x
   x = 13,672,157,184/53,280
6. Step 6: Final answer
   x = 256,609.56