Finding the Third Proportional to 185,936 and 382,874

Step by Step Solution

1. Step 1: Write the proportion equation
   185,936 : 382,874 = 382,874 : x
2. Step 2: Convert to fraction form
   185,936/382,874 = 382,874/x
3. Step 3: Cross multiply
   185,936x = 382,874 × 382,874
4. Step 4: Simplify right side
   185,936x = 146,592,499,876
5. Step 5: Solve for x
   x = 146,592,499,876/185,936
6. Step 6: Final answer
   x = 788,403.00