Finding the Third Proportional to 85,425 and 186,942

Step by Step Solution

1. Step 1: Write the proportion equation
   85,425 : 186,942 = 186,942 : x
2. Step 2: Convert to fraction form
   85,425/186,942 = 186,942/x
3. Step 3: Cross multiply
   85,425x = 186,942 × 186,942
4. Step 4: Simplify right side
   85,425x = 34,947,311,364
5. Step 5: Solve for x
   x = 34,947,311,364/85,425
6. Step 6: Final answer
   x = 409,099.34