Finding the Third Proportional to 47,377 and 101,922

Step by Step Solution

1. Step 1: Write the proportion equation
   47,377 : 101,922 = 101,922 : x
2. Step 2: Convert to fraction form
   47,377/101,922 = 101,922/x
3. Step 3: Cross multiply
   47,377x = 101,922 × 101,922
4. Step 4: Simplify right side
   47,377x = 10,388,094,084
5. Step 5: Solve for x
   x = 10,388,094,084/47,377
6. Step 6: Final answer
   x = 219,264.50