Finding the Third Proportional to 20,204 and 47,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,204 : 47,191.50 = 47,191.50 : x
2. Step 2: Convert to fraction form
   20,204/47,191.50 = 47,191.50/x
3. Step 3: Cross multiply
   20,204x = 47,191.50 × 47,191.50
4. Step 4: Simplify right side
   20,204x = 2,227,037,672.25
5. Step 5: Solve for x
   x = 2,227,037,672.25/20,204
6. Step 6: Final answer
   x = 110,227.56