Finding the Third Proportional to 214,704 and 466,314

Step by Step Solution

1. Step 1: Write the proportion equation
   214,704 : 466,314 = 466,314 : x
2. Step 2: Convert to fraction form
   214,704/466,314 = 466,314/x
3. Step 3: Cross multiply
   214,704x = 466,314 × 466,314
4. Step 4: Simplify right side
   214,704x = 217,448,746,596
5. Step 5: Solve for x
   x = 217,448,746,596/214,704
6. Step 6: Final answer
   x = 1,012,783.86