Finding the Third Proportional to 257,361 and 371,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,361 : 371,274.50 = 371,274.50 : x
2. Step 2: Convert to fraction form
   257,361/371,274.50 = 371,274.50/x
3. Step 3: Cross multiply
   257,361x = 371,274.50 × 371,274.50
4. Step 4: Simplify right side
   257,361x = 137,844,754,350.25
5. Step 5: Solve for x
   x = 137,844,754,350.25/257,361
6. Step 6: Final answer
   x = 535,608.56