Finding the Third Proportional to 103,410 and 213,462

Step by Step Solution

1. Step 1: Write the proportion equation
   103,410 : 213,462 = 213,462 : x
2. Step 2: Convert to fraction form
   103,410/213,462 = 213,462/x
3. Step 3: Cross multiply
   103,410x = 213,462 × 213,462
4. Step 4: Simplify right side
   103,410x = 45,566,025,444
5. Step 5: Solve for x
   x = 45,566,025,444/103,410
6. Step 6: Final answer
   x = 440,634.61