Finding the Third Proportional to 165,834 and 389,831.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,834 : 389,831.25 = 389,831.25 : x
2. Step 2: Convert to fraction form
   165,834/389,831.25 = 389,831.25/x
3. Step 3: Cross multiply
   165,834x = 389,831.25 × 389,831.25
4. Step 4: Simplify right side
   165,834x = 151,968,403,476.56
5. Step 5: Solve for x
   x = 151,968,403,476.56/165,834
6. Step 6: Final answer
   x = 916,388.70