Finding the Third Proportional to 90,900 and 186,336

Step by Step Solution

1. Step 1: Write the proportion equation
   90,900 : 186,336 = 186,336 : x
2. Step 2: Convert to fraction form
   90,900/186,336 = 186,336/x
3. Step 3: Cross multiply
   90,900x = 186,336 × 186,336
4. Step 4: Simplify right side
   90,900x = 34,721,104,896
5. Step 5: Solve for x
   x = 34,721,104,896/90,900
6. Step 6: Final answer
   x = 381,970.35