Finding the Third Proportional to 53,160 and 111,828

Step by Step Solution

1. Step 1: Write the proportion equation
   53,160 : 111,828 = 111,828 : x
2. Step 2: Convert to fraction form
   53,160/111,828 = 111,828/x
3. Step 3: Cross multiply
   53,160x = 111,828 × 111,828
4. Step 4: Simplify right side
   53,160x = 12,505,501,584
5. Step 5: Solve for x
   x = 12,505,501,584/53,160
6. Step 6: Final answer
   x = 235,242.69