Finding the Third Proportional to 90,544.50 and 194,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,544.50 : 194,953.50 = 194,953.50 : x
2. Step 2: Convert to fraction form
   90,544.50/194,953.50 = 194,953.50/x
3. Step 3: Cross multiply
   90,544.50x = 194,953.50 × 194,953.50
4. Step 4: Simplify right side
   90,544.50x = 38,006,867,162.25
5. Step 5: Solve for x
   x = 38,006,867,162.25/90,544.50
6. Step 6: Final answer
   x = 419,758.98