Finding the Third Proportional to 90,346.50 and 194,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,346.50 : 194,568.75 = 194,568.75 : x
2. Step 2: Convert to fraction form
   90,346.50/194,568.75 = 194,568.75/x
3. Step 3: Cross multiply
   90,346.50x = 194,568.75 × 194,568.75
4. Step 4: Simplify right side
   90,346.50x = 37,856,998,476.56
5. Step 5: Solve for x
   x = 37,856,998,476.56/90,346.50
6. Step 6: Final answer
   x = 419,020.09