Finding the Third Proportional to 200,538 and 417,600

Step by Step Solution

1. Step 1: Write the proportion equation
   200,538 : 417,600 = 417,600 : x
2. Step 2: Convert to fraction form
   200,538/417,600 = 417,600/x
3. Step 3: Cross multiply
   200,538x = 417,600 × 417,600
4. Step 4: Simplify right side
   200,538x = 174,389,760,000
5. Step 5: Solve for x
   x = 174,389,760,000/200,538
6. Step 6: Final answer
   x = 869,609.55