Finding the Third Proportional to 386,922 and 591,830

Step by Step Solution

1. Step 1: Write the proportion equation
   386,922 : 591,830 = 591,830 : x
2. Step 2: Convert to fraction form
   386,922/591,830 = 591,830/x
3. Step 3: Cross multiply
   386,922x = 591,830 × 591,830
4. Step 4: Simplify right side
   386,922x = 350,262,748,900
5. Step 5: Solve for x
   x = 350,262,748,900/386,922
6. Step 6: Final answer
   x = 905,254.16