Finding the Third Proportional to 52,086.50 and 107,866

Step by Step Solution

1. Step 1: Write the proportion equation
   52,086.50 : 107,866 = 107,866 : x
2. Step 2: Convert to fraction form
   52,086.50/107,866 = 107,866/x
3. Step 3: Cross multiply
   52,086.50x = 107,866 × 107,866
4. Step 4: Simplify right side
   52,086.50x = 11,635,073,956
5. Step 5: Solve for x
   x = 11,635,073,956/52,086.50
6. Step 6: Final answer
   x = 223,379.84