Finding the Third Proportional to 397,480 and 590,814

Step by Step Solution

1. Step 1: Write the proportion equation
   397,480 : 590,814 = 590,814 : x
2. Step 2: Convert to fraction form
   397,480/590,814 = 590,814/x
3. Step 3: Cross multiply
   397,480x = 590,814 × 590,814
4. Step 4: Simplify right side
   397,480x = 349,061,182,596
5. Step 5: Solve for x
   x = 349,061,182,596/397,480
6. Step 6: Final answer
   x = 878,185.53