Finding the Third Proportional to 47,550 and 100,405

Step by Step Solution

1. Step 1: Write the proportion equation
   47,550 : 100,405 = 100,405 : x
2. Step 2: Convert to fraction form
   47,550/100,405 = 100,405/x
3. Step 3: Cross multiply
   47,550x = 100,405 × 100,405
4. Step 4: Simplify right side
   47,550x = 10,081,164,025
5. Step 5: Solve for x
   x = 10,081,164,025/47,550
6. Step 6: Final answer
   x = 212,011.86