Finding the Third Proportional to 47,811 and 101,094

Step by Step Solution

1. Step 1: Write the proportion equation
   47,811 : 101,094 = 101,094 : x
2. Step 2: Convert to fraction form
   47,811/101,094 = 101,094/x
3. Step 3: Cross multiply
   47,811x = 101,094 × 101,094
4. Step 4: Simplify right side
   47,811x = 10,219,996,836
5. Step 5: Solve for x
   x = 10,219,996,836/47,811
6. Step 6: Final answer
   x = 213,758.27