Finding the Third Proportional to 257,488 and 377,012

Step by Step Solution

1. Step 1: Write the proportion equation
   257,488 : 377,012 = 377,012 : x
2. Step 2: Convert to fraction form
   257,488/377,012 = 377,012/x
3. Step 3: Cross multiply
   257,488x = 377,012 × 377,012
4. Step 4: Simplify right side
   257,488x = 142,138,048,144
5. Step 5: Solve for x
   x = 142,138,048,144/257,488
6. Step 6: Final answer
   x = 552,018.15