Finding the Third Proportional to 53,078 and 116,362

Step by Step Solution

1. Step 1: Write the proportion equation
   53,078 : 116,362 = 116,362 : x
2. Step 2: Convert to fraction form
   53,078/116,362 = 116,362/x
3. Step 3: Cross multiply
   53,078x = 116,362 × 116,362
4. Step 4: Simplify right side
   53,078x = 13,540,115,044
5. Step 5: Solve for x
   x = 13,540,115,044/53,078
6. Step 6: Final answer
   x = 255,098.44