Finding the Third Proportional to 140,556 and 297,414

Step by Step Solution

1. Step 1: Write the proportion equation
   140,556 : 297,414 = 297,414 : x
2. Step 2: Convert to fraction form
   140,556/297,414 = 297,414/x
3. Step 3: Cross multiply
   140,556x = 297,414 × 297,414
4. Step 4: Simplify right side
   140,556x = 88,455,087,396
5. Step 5: Solve for x
   x = 88,455,087,396/140,556
6. Step 6: Final answer
   x = 629,322.74