Finding the Third Proportional to 200,654 and 417,916

Step by Step Solution

1. Step 1: Write the proportion equation
   200,654 : 417,916 = 417,916 : x
2. Step 2: Convert to fraction form
   200,654/417,916 = 417,916/x
3. Step 3: Cross multiply
   200,654x = 417,916 × 417,916
4. Step 4: Simplify right side
   200,654x = 174,653,783,056
5. Step 5: Solve for x
   x = 174,653,783,056/200,654
6. Step 6: Final answer
   x = 870,422.63