Finding the Third Proportional to 47,424 and 103,200

Step by Step Solution

1. Step 1: Write the proportion equation
   47,424 : 103,200 = 103,200 : x
2. Step 2: Convert to fraction form
   47,424/103,200 = 103,200/x
3. Step 3: Cross multiply
   47,424x = 103,200 × 103,200
4. Step 4: Simplify right side
   47,424x = 10,650,240,000
5. Step 5: Solve for x
   x = 10,650,240,000/47,424
6. Step 6: Final answer
   x = 224,574.90