Finding the Third Proportional to 401,462.81 and 591,103.69

Step by Step Solution

1. Step 1: Write the proportion equation
   401,462.81 : 591,103.69 = 591,103.69 : x
2. Step 2: Convert to fraction form
   401,462.81/591,103.69 = 591,103.69/x
3. Step 3: Cross multiply
   401,462.81x = 591,103.69 × 591,103.69
4. Step 4: Simplify right side
   401,462.81x = 349,403,569,376.10
5. Step 5: Solve for x
   x = 349,403,569,376.10/401,462.81
6. Step 6: Final answer
   x = 870,326.11