Finding the Third Proportional to 47,214 and 100,746

Step by Step Solution

1. Step 1: Write the proportion equation
   47,214 : 100,746 = 100,746 : x
2. Step 2: Convert to fraction form
   47,214/100,746 = 100,746/x
3. Step 3: Cross multiply
   47,214x = 100,746 × 100,746
4. Step 4: Simplify right side
   47,214x = 10,149,756,516
5. Step 5: Solve for x
   x = 10,149,756,516/47,214
6. Step 6: Final answer
   x = 214,973.45