Finding the Third Proportional to 47,843 and 103,340

Step by Step Solution

1. Step 1: Write the proportion equation
   47,843 : 103,340 = 103,340 : x
2. Step 2: Convert to fraction form
   47,843/103,340 = 103,340/x
3. Step 3: Cross multiply
   47,843x = 103,340 × 103,340
4. Step 4: Simplify right side
   47,843x = 10,679,155,600
5. Step 5: Solve for x
   x = 10,679,155,600/47,843
6. Step 6: Final answer
   x = 223,212.50