Finding the Third Proportional to 90,978 and 186,486

Step by Step Solution

1. Step 1: Write the proportion equation
   90,978 : 186,486 = 186,486 : x
2. Step 2: Convert to fraction form
   90,978/186,486 = 186,486/x
3. Step 3: Cross multiply
   90,978x = 186,486 × 186,486
4. Step 4: Simplify right side
   90,978x = 34,777,028,196
5. Step 5: Solve for x
   x = 34,777,028,196/90,978
6. Step 6: Final answer
   x = 382,257.56