Finding the Third Proportional to 90,289 and 186,746

Step by Step Solution

1. Step 1: Write the proportion equation
   90,289 : 186,746 = 186,746 : x
2. Step 2: Convert to fraction form
   90,289/186,746 = 186,746/x
3. Step 3: Cross multiply
   90,289x = 186,746 × 186,746
4. Step 4: Simplify right side
   90,289x = 34,874,068,516
5. Step 5: Solve for x
   x = 34,874,068,516/90,289
6. Step 6: Final answer
   x = 386,249.36