Finding the Third Proportional to 361,984 and 772,042

Step by Step Solution

1. Step 1: Write the proportion equation
   361,984 : 772,042 = 772,042 : x
2. Step 2: Convert to fraction form
   361,984/772,042 = 772,042/x
3. Step 3: Cross multiply
   361,984x = 772,042 × 772,042
4. Step 4: Simplify right side
   361,984x = 596,048,849,764
5. Step 5: Solve for x
   x = 596,048,849,764/361,984
6. Step 6: Final answer
   x = 1,646,616.56