Finding the Third Proportional to 197,848 and 466,576

Step by Step Solution

1. Step 1: Write the proportion equation
   197,848 : 466,576 = 466,576 : x
2. Step 2: Convert to fraction form
   197,848/466,576 = 466,576/x
3. Step 3: Cross multiply
   197,848x = 466,576 × 466,576
4. Step 4: Simplify right side
   197,848x = 217,693,163,776
5. Step 5: Solve for x
   x = 217,693,163,776/197,848
6. Step 6: Final answer
   x = 1,100,305.10