Finding the Third Proportional to 214,788 and 464,976

Step by Step Solution

1. Step 1: Write the proportion equation
   214,788 : 464,976 = 464,976 : x
2. Step 2: Convert to fraction form
   214,788/464,976 = 464,976/x
3. Step 3: Cross multiply
   214,788x = 464,976 × 464,976
4. Step 4: Simplify right side
   214,788x = 216,202,680,576
5. Step 5: Solve for x
   x = 216,202,680,576/214,788
6. Step 6: Final answer
   x = 1,006,586.40