Finding the Third Proportional to 355,196 and 760,774

Step by Step Solution

1. Step 1: Write the proportion equation
   355,196 : 760,774 = 760,774 : x
2. Step 2: Convert to fraction form
   355,196/760,774 = 760,774/x
3. Step 3: Cross multiply
   355,196x = 760,774 × 760,774
4. Step 4: Simplify right side
   355,196x = 578,777,079,076
5. Step 5: Solve for x
   x = 578,777,079,076/355,196
6. Step 6: Final answer
   x = 1,629,458.32