Finding the Third Proportional to 53,388 and 116,820

Step by Step Solution

1. Step 1: Write the proportion equation
   53,388 : 116,820 = 116,820 : x
2. Step 2: Convert to fraction form
   53,388/116,820 = 116,820/x
3. Step 3: Cross multiply
   53,388x = 116,820 × 116,820
4. Step 4: Simplify right side
   53,388x = 13,646,912,400
5. Step 5: Solve for x
   x = 13,646,912,400/53,388
6. Step 6: Final answer
   x = 255,617.60