Finding the Third Proportional to 456,204 and 666,970

Step by Step Solution

1. Step 1: Write the proportion equation
   456,204 : 666,970 = 666,970 : x
2. Step 2: Convert to fraction form
   456,204/666,970 = 666,970/x
3. Step 3: Cross multiply
   456,204x = 666,970 × 666,970
4. Step 4: Simplify right side
   456,204x = 444,848,980,900
5. Step 5: Solve for x
   x = 444,848,980,900/456,204
6. Step 6: Final answer
   x = 975,109.78