Finding the Third Proportional to 187,768 and 400,208

Step by Step Solution

1. Step 1: Write the proportion equation
   187,768 : 400,208 = 400,208 : x
2. Step 2: Convert to fraction form
   187,768/400,208 = 400,208/x
3. Step 3: Cross multiply
   187,768x = 400,208 × 400,208
4. Step 4: Simplify right side
   187,768x = 160,166,443,264
5. Step 5: Solve for x
   x = 160,166,443,264/187,768
6. Step 6: Final answer
   x = 853,001.81