Finding the Third Proportional to 53,584 and 116,692

Step by Step Solution

1. Step 1: Write the proportion equation
   53,584 : 116,692 = 116,692 : x
2. Step 2: Convert to fraction form
   53,584/116,692 = 116,692/x
3. Step 3: Cross multiply
   53,584x = 116,692 × 116,692
4. Step 4: Simplify right side
   53,584x = 13,617,022,864
5. Step 5: Solve for x
   x = 13,617,022,864/53,584
6. Step 6: Final answer
   x = 254,124.79