Finding the Third Proportional to 47,372 and 102,345

Step by Step Solution

1. Step 1: Write the proportion equation
   47,372 : 102,345 = 102,345 : x
2. Step 2: Convert to fraction form
   47,372/102,345 = 102,345/x
3. Step 3: Cross multiply
   47,372x = 102,345 × 102,345
4. Step 4: Simplify right side
   47,372x = 10,474,499,025
5. Step 5: Solve for x
   x = 10,474,499,025/47,372
6. Step 6: Final answer
   x = 221,111.61