Finding the Third Proportional to 47,213 and 100,743

Step by Step Solution

1. Step 1: Write the proportion equation
   47,213 : 100,743 = 100,743 : x
2. Step 2: Convert to fraction form
   47,213/100,743 = 100,743/x
3. Step 3: Cross multiply
   47,213x = 100,743 × 100,743
4. Step 4: Simplify right side
   47,213x = 10,149,152,049
5. Step 5: Solve for x
   x = 10,149,152,049/47,213
6. Step 6: Final answer
   x = 214,965.20