Finding the Third Proportional to 186,978 and 400,185

Step by Step Solution

1. Step 1: Write the proportion equation
   186,978 : 400,185 = 400,185 : x
2. Step 2: Convert to fraction form
   186,978/400,185 = 400,185/x
3. Step 3: Cross multiply
   186,978x = 400,185 × 400,185
4. Step 4: Simplify right side
   186,978x = 160,148,034,225
5. Step 5: Solve for x
   x = 160,148,034,225/186,978
6. Step 6: Final answer
   x = 856,507.37