Finding the Third Proportional to 200,572 and 413,856

Step by Step Solution

1. Step 1: Write the proportion equation
   200,572 : 413,856 = 413,856 : x
2. Step 2: Convert to fraction form
   200,572/413,856 = 413,856/x
3. Step 3: Cross multiply
   200,572x = 413,856 × 413,856
4. Step 4: Simplify right side
   200,572x = 171,276,788,736
5. Step 5: Solve for x
   x = 171,276,788,736/200,572
6. Step 6: Final answer
   x = 853,941.67