Finding the Third Proportional to 90,956 and 186,420

Step by Step Solution

1. Step 1: Write the proportion equation
   90,956 : 186,420 = 186,420 : x
2. Step 2: Convert to fraction form
   90,956/186,420 = 186,420/x
3. Step 3: Cross multiply
   90,956x = 186,420 × 186,420
4. Step 4: Simplify right side
   90,956x = 34,752,416,400
5. Step 5: Solve for x
   x = 34,752,416,400/90,956
6. Step 6: Final answer
   x = 382,079.43