Finding the Third Proportional to 91,014 and 186,564

Step by Step Solution

1. Step 1: Write the proportion equation
   91,014 : 186,564 = 186,564 : x
2. Step 2: Convert to fraction form
   91,014/186,564 = 186,564/x
3. Step 3: Cross multiply
   91,014x = 186,564 × 186,564
4. Step 4: Simplify right side
   91,014x = 34,806,126,096
5. Step 5: Solve for x
   x = 34,806,126,096/91,014
6. Step 6: Final answer
   x = 382,426.07