Finding the Third Proportional to 140,444 and 296,656

Step by Step Solution

1. Step 1: Write the proportion equation
   140,444 : 296,656 = 296,656 : x
2. Step 2: Convert to fraction form
   140,444/296,656 = 296,656/x
3. Step 3: Cross multiply
   140,444x = 296,656 × 296,656
4. Step 4: Simplify right side
   140,444x = 88,004,782,336
5. Step 5: Solve for x
   x = 88,004,782,336/140,444
6. Step 6: Final answer
   x = 626,618.31