Finding the Third Proportional to 90,726 and 194,568

Step by Step Solution

1. Step 1: Write the proportion equation
   90,726 : 194,568 = 194,568 : x
2. Step 2: Convert to fraction form
   90,726/194,568 = 194,568/x
3. Step 3: Cross multiply
   90,726x = 194,568 × 194,568
4. Step 4: Simplify right side
   90,726x = 37,856,706,624
5. Step 5: Solve for x
   x = 37,856,706,624/90,726
6. Step 6: Final answer
   x = 417,264.14