Finding the Third Proportional to 189,944 and 406,240

Step by Step Solution

1. Step 1: Write the proportion equation
   189,944 : 406,240 = 406,240 : x
2. Step 2: Convert to fraction form
   189,944/406,240 = 406,240/x
3. Step 3: Cross multiply
   189,944x = 406,240 × 406,240
4. Step 4: Simplify right side
   189,944x = 165,030,937,600
5. Step 5: Solve for x
   x = 165,030,937,600/189,944
6. Step 6: Final answer
   x = 868,839.96