Finding the Third Proportional to 401,424 and 591,047.25

Step by Step Solution

1. Step 1: Write the proportion equation
   401,424 : 591,047.25 = 591,047.25 : x
2. Step 2: Convert to fraction form
   401,424/591,047.25 = 591,047.25/x
3. Step 3: Cross multiply
   401,424x = 591,047.25 × 591,047.25
4. Step 4: Simplify right side
   401,424x = 349,336,851,732.56
5. Step 5: Solve for x
   x = 349,336,851,732.56/401,424
6. Step 6: Final answer
   x = 870,244.06