Finding the Third Proportional to 90,958 and 186,424

Step by Step Solution

1. Step 1: Write the proportion equation
   90,958 : 186,424 = 186,424 : x
2. Step 2: Convert to fraction form
   90,958/186,424 = 186,424/x
3. Step 3: Cross multiply
   90,958x = 186,424 × 186,424
4. Step 4: Simplify right side
   90,958x = 34,753,907,776
5. Step 5: Solve for x
   x = 34,753,907,776/90,958
6. Step 6: Final answer
   x = 382,087.42