Finding the Third Proportional to 214,478 and 464,260

Step by Step Solution

1. Step 1: Write the proportion equation
   214,478 : 464,260 = 464,260 : x
2. Step 2: Convert to fraction form
   214,478/464,260 = 464,260/x
3. Step 3: Cross multiply
   214,478x = 464,260 × 464,260
4. Step 4: Simplify right side
   214,478x = 215,537,347,600
5. Step 5: Solve for x
   x = 215,537,347,600/214,478
6. Step 6: Final answer
   x = 1,004,939.19