Finding the Third Proportional to 90,942 and 186,390

Step by Step Solution

1. Step 1: Write the proportion equation
   90,942 : 186,390 = 186,390 : x
2. Step 2: Convert to fraction form
   90,942/186,390 = 186,390/x
3. Step 3: Cross multiply
   90,942x = 186,390 × 186,390
4. Step 4: Simplify right side
   90,942x = 34,741,232,100
5. Step 5: Solve for x
   x = 34,741,232,100/90,942
6. Step 6: Final answer
   x = 382,015.26