Finding the Third Proportional to 214,676 and 466,224

Step by Step Solution

1. Step 1: Write the proportion equation
   214,676 : 466,224 = 466,224 : x
2. Step 2: Convert to fraction form
   214,676/466,224 = 466,224/x
3. Step 3: Cross multiply
   214,676x = 466,224 × 466,224
4. Step 4: Simplify right side
   214,676x = 217,364,818,176
5. Step 5: Solve for x
   x = 217,364,818,176/214,676
6. Step 6: Final answer
   x = 1,012,525.01