Finding the Third Proportional to 214,628 and 466,164

Step by Step Solution

1. Step 1: Write the proportion equation
   214,628 : 466,164 = 466,164 : x
2. Step 2: Convert to fraction form
   214,628/466,164 = 466,164/x
3. Step 3: Cross multiply
   214,628x = 466,164 × 466,164
4. Step 4: Simplify right side
   214,628x = 217,308,874,896
5. Step 5: Solve for x
   x = 217,308,874,896/214,628
6. Step 6: Final answer
   x = 1,012,490.80