Finding the Third Proportional to 89,131.50 and 194,256

Step by Step Solution

1. Step 1: Write the proportion equation
   89,131.50 : 194,256 = 194,256 : x
2. Step 2: Convert to fraction form
   89,131.50/194,256 = 194,256/x
3. Step 3: Cross multiply
   89,131.50x = 194,256 × 194,256
4. Step 4: Simplify right side
   89,131.50x = 37,735,393,536
5. Step 5: Solve for x
   x = 37,735,393,536/89,131.50
6. Step 6: Final answer
   x = 423,367.65