Finding the Third Proportional to 300,522 and 634,578

Step by Step Solution

1. Step 1: Write the proportion equation
   300,522 : 634,578 = 634,578 : x
2. Step 2: Convert to fraction form
   300,522/634,578 = 634,578/x
3. Step 3: Cross multiply
   300,522x = 634,578 × 634,578
4. Step 4: Simplify right side
   300,522x = 402,689,238,084
5. Step 5: Solve for x
   x = 402,689,238,084/300,522
6. Step 6: Final answer
   x = 1,339,965.92