Finding the Third Proportional to 643,068 and 946,012

Step by Step Solution

1. Step 1: Write the proportion equation
   643,068 : 946,012 = 946,012 : x
2. Step 2: Convert to fraction form
   643,068/946,012 = 946,012/x
3. Step 3: Cross multiply
   643,068x = 946,012 × 946,012
4. Step 4: Simplify right side
   643,068x = 894,938,704,144
5. Step 5: Solve for x
   x = 894,938,704,144/643,068
6. Step 6: Final answer
   x = 1,391,670.41