Finding the Third Proportional to 47,434 and 103,454

Step by Step Solution

1. Step 1: Write the proportion equation
   47,434 : 103,454 = 103,454 : x
2. Step 2: Convert to fraction form
   47,434/103,454 = 103,454/x
3. Step 3: Cross multiply
   47,434x = 103,454 × 103,454
4. Step 4: Simplify right side
   47,434x = 10,702,730,116
5. Step 5: Solve for x
   x = 10,702,730,116/47,434
6. Step 6: Final answer
   x = 225,634.15