Finding the Third Proportional to 90,628.50 and 194,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,628.50 : 194,383.50 = 194,383.50 : x
2. Step 2: Convert to fraction form
   90,628.50/194,383.50 = 194,383.50/x
3. Step 3: Cross multiply
   90,628.50x = 194,383.50 × 194,383.50
4. Step 4: Simplify right side
   90,628.50x = 37,784,945,072.25
5. Step 5: Solve for x
   x = 37,784,945,072.25/90,628.50
6. Step 6: Final answer
   x = 416,921.22