Finding the Third Proportional to 442,942 and 687,164

Step by Step Solution

1. Step 1: Write the proportion equation
   442,942 : 687,164 = 687,164 : x
2. Step 2: Convert to fraction form
   442,942/687,164 = 687,164/x
3. Step 3: Cross multiply
   442,942x = 687,164 × 687,164
4. Step 4: Simplify right side
   442,942x = 472,194,362,896
5. Step 5: Solve for x
   x = 472,194,362,896/442,942
6. Step 6: Final answer
   x = 1,066,041.07