Finding the Third Proportional to 53,020 and 116,408

Step by Step Solution

1. Step 1: Write the proportion equation
   53,020 : 116,408 = 116,408 : x
2. Step 2: Convert to fraction form
   53,020/116,408 = 116,408/x
3. Step 3: Cross multiply
   53,020x = 116,408 × 116,408
4. Step 4: Simplify right side
   53,020x = 13,550,822,464
5. Step 5: Solve for x
   x = 13,550,822,464/53,020
6. Step 6: Final answer
   x = 255,579.45