Finding the Third Proportional to 47,866 and 101,492

Step by Step Solution

1. Step 1: Write the proportion equation
   47,866 : 101,492 = 101,492 : x
2. Step 2: Convert to fraction form
   47,866/101,492 = 101,492/x
3. Step 3: Cross multiply
   47,866x = 101,492 × 101,492
4. Step 4: Simplify right side
   47,866x = 10,300,626,064
5. Step 5: Solve for x
   x = 10,300,626,064/47,866
6. Step 6: Final answer
   x = 215,197.14