Finding the Third Proportional to 47,820 and 101,106

Step by Step Solution

1. Step 1: Write the proportion equation
   47,820 : 101,106 = 101,106 : x
2. Step 2: Convert to fraction form
   47,820/101,106 = 101,106/x
3. Step 3: Cross multiply
   47,820x = 101,106 × 101,106
4. Step 4: Simplify right side
   47,820x = 10,222,423,236
5. Step 5: Solve for x
   x = 10,222,423,236/47,820
6. Step 6: Final answer
   x = 213,768.78