Finding the Third Proportional to 156,944 and 345,556

Step by Step Solution

1. Step 1: Write the proportion equation
   156,944 : 345,556 = 345,556 : x
2. Step 2: Convert to fraction form
   156,944/345,556 = 345,556/x
3. Step 3: Cross multiply
   156,944x = 345,556 × 345,556
4. Step 4: Simplify right side
   156,944x = 119,408,949,136
5. Step 5: Solve for x
   x = 119,408,949,136/156,944
6. Step 6: Final answer
   x = 760,837.94