Finding the Third Proportional to 107,805.50 and 226,782

Step by Step Solution

1. Step 1: Write the proportion equation
   107,805.50 : 226,782 = 226,782 : x
2. Step 2: Convert to fraction form
   107,805.50/226,782 = 226,782/x
3. Step 3: Cross multiply
   107,805.50x = 226,782 × 226,782
4. Step 4: Simplify right side
   107,805.50x = 51,430,075,524
5. Step 5: Solve for x
   x = 51,430,075,524/107,805.50
6. Step 6: Final answer
   x = 477,063.56