Finding the Third Proportional to 200,842 and 437,404

Step by Step Solution

1. Step 1: Write the proportion equation
   200,842 : 437,404 = 437,404 : x
2. Step 2: Convert to fraction form
   200,842/437,404 = 437,404/x
3. Step 3: Cross multiply
   200,842x = 437,404 × 437,404
4. Step 4: Simplify right side
   200,842x = 191,322,259,216
5. Step 5: Solve for x
   x = 191,322,259,216/200,842
6. Step 6: Final answer
   x = 952,600.85