Finding the Third Proportional to 212,378 and 464,140

Step by Step Solution

1. Step 1: Write the proportion equation
   212,378 : 464,140 = 464,140 : x
2. Step 2: Convert to fraction form
   212,378/464,140 = 464,140/x
3. Step 3: Cross multiply
   212,378x = 464,140 × 464,140
4. Step 4: Simplify right side
   212,378x = 215,425,939,600
5. Step 5: Solve for x
   x = 215,425,939,600/212,378
6. Step 6: Final answer
   x = 1,014,351.48