Finding the Third Proportional to 420,456 and 946,164

Step by Step Solution

1. Step 1: Write the proportion equation
   420,456 : 946,164 = 946,164 : x
2. Step 2: Convert to fraction form
   420,456/946,164 = 946,164/x
3. Step 3: Cross multiply
   420,456x = 946,164 × 946,164
4. Step 4: Simplify right side
   420,456x = 895,226,314,896
5. Step 5: Solve for x
   x = 895,226,314,896/420,456
6. Step 6: Final answer
   x = 2,129,179.55