Finding the Third Proportional to 257,490 and 371,472.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,490 : 371,472.75 = 371,472.75 : x
2. Step 2: Convert to fraction form
   257,490/371,472.75 = 371,472.75/x
3. Step 3: Cross multiply
   257,490x = 371,472.75 × 371,472.75
4. Step 4: Simplify right side
   257,490x = 137,992,003,992.56
5. Step 5: Solve for x
   x = 137,992,003,992.56/257,490
6. Step 6: Final answer
   x = 535,912.09