Finding the Third Proportional to 53,870 and 110,412

Step by Step Solution

1. Step 1: Write the proportion equation
   53,870 : 110,412 = 110,412 : x
2. Step 2: Convert to fraction form
   53,870/110,412 = 110,412/x
3. Step 3: Cross multiply
   53,870x = 110,412 × 110,412
4. Step 4: Simplify right side
   53,870x = 12,190,809,744
5. Step 5: Solve for x
   x = 12,190,809,744/53,870
6. Step 6: Final answer
   x = 226,300.53