Finding the Third Proportional to 53,154 and 111,816

Step by Step Solution

1. Step 1: Write the proportion equation
   53,154 : 111,816 = 111,816 : x
2. Step 2: Convert to fraction form
   53,154/111,816 = 111,816/x
3. Step 3: Cross multiply
   53,154x = 111,816 × 111,816
4. Step 4: Simplify right side
   53,154x = 12,502,817,856
5. Step 5: Solve for x
   x = 12,502,817,856/53,154
6. Step 6: Final answer
   x = 235,218.76