Finding the Third Proportional to 223,825.50 and 316,404

Step by Step Solution

1. Step 1: Write the proportion equation
   223,825.50 : 316,404 = 316,404 : x
2. Step 2: Convert to fraction form
   223,825.50/316,404 = 316,404/x
3. Step 3: Cross multiply
   223,825.50x = 316,404 × 316,404
4. Step 4: Simplify right side
   223,825.50x = 100,111,491,216
5. Step 5: Solve for x
   x = 100,111,491,216/223,825.50
6. Step 6: Final answer
   x = 447,274.74