Finding the Third Proportional to 90,867 and 186,269

Step by Step Solution

1. Step 1: Write the proportion equation
   90,867 : 186,269 = 186,269 : x
2. Step 2: Convert to fraction form
   90,867/186,269 = 186,269/x
3. Step 3: Cross multiply
   90,867x = 186,269 × 186,269
4. Step 4: Simplify right side
   90,867x = 34,696,140,361
5. Step 5: Solve for x
   x = 34,696,140,361/90,867
6. Step 6: Final answer
   x = 381,834.33