Finding the Third Proportional to 47,660 and 101,781

Step by Step Solution

1. Step 1: Write the proportion equation
   47,660 : 101,781 = 101,781 : x
2. Step 2: Convert to fraction form
   47,660/101,781 = 101,781/x
3. Step 3: Cross multiply
   47,660x = 101,781 × 101,781
4. Step 4: Simplify right side
   47,660x = 10,359,371,961
5. Step 5: Solve for x
   x = 10,359,371,961/47,660
6. Step 6: Final answer
   x = 217,359.88