Finding the Third Proportional to 47,905.50 and 100,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,905.50 : 100,771.50 = 100,771.50 : x
2. Step 2: Convert to fraction form
   47,905.50/100,771.50 = 100,771.50/x
3. Step 3: Cross multiply
   47,905.50x = 100,771.50 × 100,771.50
4. Step 4: Simplify right side
   47,905.50x = 10,154,895,212.25
5. Step 5: Solve for x
   x = 10,154,895,212.25/47,905.50
6. Step 6: Final answer
   x = 211,977.65