Finding the Third Proportional to 257,353.50 and 371,268

Step by Step Solution

1. Step 1: Write the proportion equation
   257,353.50 : 371,268 = 371,268 : x
2. Step 2: Convert to fraction form
   257,353.50/371,268 = 371,268/x
3. Step 3: Cross multiply
   257,353.50x = 371,268 × 371,268
4. Step 4: Simplify right side
   257,353.50x = 137,839,927,824
5. Step 5: Solve for x
   x = 137,839,927,824/257,353.50
6. Step 6: Final answer
   x = 535,605.41