Finding the Third Proportional to 47,131 and 102,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,131 : 102,591.50 = 102,591.50 : x
2. Step 2: Convert to fraction form
   47,131/102,591.50 = 102,591.50/x
3. Step 3: Cross multiply
   47,131x = 102,591.50 × 102,591.50
4. Step 4: Simplify right side
   47,131x = 10,525,015,872.25
5. Step 5: Solve for x
   x = 10,525,015,872.25/47,131
6. Step 6: Final answer
   x = 223,314.08