Finding the Third Proportional to 52,089 and 107,870

Step by Step Solution

1. Step 1: Write the proportion equation
   52,089 : 107,870 = 107,870 : x
2. Step 2: Convert to fraction form
   52,089/107,870 = 107,870/x
3. Step 3: Cross multiply
   52,089x = 107,870 × 107,870
4. Step 4: Simplify right side
   52,089x = 11,635,936,900
5. Step 5: Solve for x
   x = 11,635,936,900/52,089
6. Step 6: Final answer
   x = 223,385.68