Finding the Third Proportional to 90,609.50 and 194,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,609.50 : 194,341.50 = 194,341.50 : x
2. Step 2: Convert to fraction form
   90,609.50/194,341.50 = 194,341.50/x
3. Step 3: Cross multiply
   90,609.50x = 194,341.50 × 194,341.50
4. Step 4: Simplify right side
   90,609.50x = 37,768,618,622.25
5. Step 5: Solve for x
   x = 37,768,618,622.25/90,609.50
6. Step 6: Final answer
   x = 416,828.46