Finding the Third Proportional to 90,912 and 186,384

Step by Step Solution

1. Step 1: Write the proportion equation
   90,912 : 186,384 = 186,384 : x
2. Step 2: Convert to fraction form
   90,912/186,384 = 186,384/x
3. Step 3: Cross multiply
   90,912x = 186,384 × 186,384
4. Step 4: Simplify right side
   90,912x = 34,738,995,456
5. Step 5: Solve for x
   x = 34,738,995,456/90,912
6. Step 6: Final answer
   x = 382,116.72