Finding the Third Proportional to 47,864 and 101,488

Step by Step Solution

1. Step 1: Write the proportion equation
   47,864 : 101,488 = 101,488 : x
2. Step 2: Convert to fraction form
   47,864/101,488 = 101,488/x
3. Step 3: Cross multiply
   47,864x = 101,488 × 101,488
4. Step 4: Simplify right side
   47,864x = 10,299,814,144
5. Step 5: Solve for x
   x = 10,299,814,144/47,864
6. Step 6: Final answer
   x = 215,189.16