Finding the Third Proportional to 90,956 and 186,284

Step by Step Solution

1. Step 1: Write the proportion equation
   90,956 : 186,284 = 186,284 : x
2. Step 2: Convert to fraction form
   90,956/186,284 = 186,284/x
3. Step 3: Cross multiply
   90,956x = 186,284 × 186,284
4. Step 4: Simplify right side
   90,956x = 34,701,728,656
5. Step 5: Solve for x
   x = 34,701,728,656/90,956
6. Step 6: Final answer
   x = 381,522.15