Finding the Third Proportional to 196,848 and 462,152

Step by Step Solution

1. Step 1: Write the proportion equation
   196,848 : 462,152 = 462,152 : x
2. Step 2: Convert to fraction form
   196,848/462,152 = 462,152/x
3. Step 3: Cross multiply
   196,848x = 462,152 × 462,152
4. Step 4: Simplify right side
   196,848x = 213,584,471,104
5. Step 5: Solve for x
   x = 213,584,471,104/196,848
6. Step 6: Final answer
   x = 1,085,022.31