Finding the Third Proportional to 91,720 and 186,384

Step by Step Solution

1. Step 1: Write the proportion equation
   91,720 : 186,384 = 186,384 : x
2. Step 2: Convert to fraction form
   91,720/186,384 = 186,384/x
3. Step 3: Cross multiply
   91,720x = 186,384 × 186,384
4. Step 4: Simplify right side
   91,720x = 34,738,995,456
5. Step 5: Solve for x
   x = 34,738,995,456/91,720
6. Step 6: Final answer
   x = 378,750.50