Finding the Third Proportional to 214,764 and 466,422

Step by Step Solution

1. Step 1: Write the proportion equation
   214,764 : 466,422 = 466,422 : x
2. Step 2: Convert to fraction form
   214,764/466,422 = 466,422/x
3. Step 3: Cross multiply
   214,764x = 466,422 × 466,422
4. Step 4: Simplify right side
   214,764x = 217,549,482,084
5. Step 5: Solve for x
   x = 217,549,482,084/214,764
6. Step 6: Final answer
   x = 1,012,969.97