Finding the Third Proportional to 91,722 and 214,404

Step by Step Solution

1. Step 1: Write the proportion equation
   91,722 : 214,404 = 214,404 : x
2. Step 2: Convert to fraction form
   91,722/214,404 = 214,404/x
3. Step 3: Cross multiply
   91,722x = 214,404 × 214,404
4. Step 4: Simplify right side
   91,722x = 45,969,075,216
5. Step 5: Solve for x
   x = 45,969,075,216/91,722
6. Step 6: Final answer
   x = 501,178.29