Finding the Third Proportional to 401,581.50 and 588,960

Step by Step Solution

1. Step 1: Write the proportion equation
   401,581.50 : 588,960 = 588,960 : x
2. Step 2: Convert to fraction form
   401,581.50/588,960 = 588,960/x
3. Step 3: Cross multiply
   401,581.50x = 588,960 × 588,960
4. Step 4: Simplify right side
   401,581.50x = 346,873,881,600
5. Step 5: Solve for x
   x = 346,873,881,600/401,581.50
6. Step 6: Final answer
   x = 863,769.58