Finding the Third Proportional to 47,401.50 and 102,405

Step by Step Solution

1. Step 1: Write the proportion equation
   47,401.50 : 102,405 = 102,405 : x
2. Step 2: Convert to fraction form
   47,401.50/102,405 = 102,405/x
3. Step 3: Cross multiply
   47,401.50x = 102,405 × 102,405
4. Step 4: Simplify right side
   47,401.50x = 10,486,784,025
5. Step 5: Solve for x
   x = 10,486,784,025/47,401.50
6. Step 6: Final answer
   x = 221,233.17