Finding the Third Proportional to 90,880 and 186,293

Step by Step Solution

1. Step 1: Write the proportion equation
   90,880 : 186,293 = 186,293 : x
2. Step 2: Convert to fraction form
   90,880/186,293 = 186,293/x
3. Step 3: Cross multiply
   90,880x = 186,293 × 186,293
4. Step 4: Simplify right side
   90,880x = 34,705,081,849
5. Step 5: Solve for x
   x = 34,705,081,849/90,880
6. Step 6: Final answer
   x = 381,878.10