Finding the Third Proportional to 257,356 and 371,269.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,356 : 371,269.75 = 371,269.75 : x
2. Step 2: Convert to fraction form
   257,356/371,269.75 = 371,269.75/x
3. Step 3: Cross multiply
   257,356x = 371,269.75 × 371,269.75
4. Step 4: Simplify right side
   257,356x = 137,841,227,265.06
5. Step 5: Solve for x
   x = 137,841,227,265.06/257,356
6. Step 6: Final answer
   x = 535,605.26