Finding the Third Proportional to 257,378 and 371,300

Step by Step Solution

1. Step 1: Write the proportion equation
   257,378 : 371,300 = 371,300 : x
2. Step 2: Convert to fraction form
   257,378/371,300 = 371,300/x
3. Step 3: Cross multiply
   257,378x = 371,300 × 371,300
4. Step 4: Simplify right side
   257,378x = 137,863,690,000
5. Step 5: Solve for x
   x = 137,863,690,000/257,378
6. Step 6: Final answer
   x = 535,646.75