Finding the Third Proportional to 389,128 and 852,066

Step by Step Solution

1. Step 1: Write the proportion equation
   389,128 : 852,066 = 852,066 : x
2. Step 2: Convert to fraction form
   389,128/852,066 = 852,066/x
3. Step 3: Cross multiply
   389,128x = 852,066 × 852,066
4. Step 4: Simplify right side
   389,128x = 726,016,468,356
5. Step 5: Solve for x
   x = 726,016,468,356/389,128
6. Step 6: Final answer
   x = 1,865,752.32