Finding the Third Proportional to 177,906.50 and 390,802

Step by Step Solution

1. Step 1: Write the proportion equation
   177,906.50 : 390,802 = 390,802 : x
2. Step 2: Convert to fraction form
   177,906.50/390,802 = 390,802/x
3. Step 3: Cross multiply
   177,906.50x = 390,802 × 390,802
4. Step 4: Simplify right side
   177,906.50x = 152,726,203,204
5. Step 5: Solve for x
   x = 152,726,203,204/177,906.50
6. Step 6: Final answer
   x = 858,463.31