Finding the Third Proportional to 442,938 and 687,158

Step by Step Solution

1. Step 1: Write the proportion equation
   442,938 : 687,158 = 687,158 : x
2. Step 2: Convert to fraction form
   442,938/687,158 = 687,158/x
3. Step 3: Cross multiply
   442,938x = 687,158 × 687,158
4. Step 4: Simplify right side
   442,938x = 472,186,116,964
5. Step 5: Solve for x
   x = 472,186,116,964/442,938
6. Step 6: Final answer
   x = 1,066,032.08