Finding the Third Proportional to 177,282 and 389,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,282 : 389,009.25 = 389,009.25 : x
2. Step 2: Convert to fraction form
   177,282/389,009.25 = 389,009.25/x
3. Step 3: Cross multiply
   177,282x = 389,009.25 × 389,009.25
4. Step 4: Simplify right side
   177,282x = 151,328,196,585.56
5. Step 5: Solve for x
   x = 151,328,196,585.56/177,282
6. Step 6: Final answer
   x = 853,601.59