Finding the Third Proportional to 47,380.78 and 102,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   47,380.78 : 102,142.69 = 102,142.69 : x
2. Step 2: Convert to fraction form
   47,380.78/102,142.69 = 102,142.69/x
3. Step 3: Cross multiply
   47,380.78x = 102,142.69 × 102,142.69
4. Step 4: Simplify right side
   47,380.78x = 10,433,128,609.72
5. Step 5: Solve for x
   x = 10,433,128,609.72/47,380.78
6. Step 6: Final answer
   x = 220,197.48