Finding the Third Proportional to 257,991 and 371,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,991 : 371,605.50 = 371,605.50 : x
2. Step 2: Convert to fraction form
   257,991/371,605.50 = 371,605.50/x
3. Step 3: Cross multiply
   257,991x = 371,605.50 × 371,605.50
4. Step 4: Simplify right side
   257,991x = 138,090,647,630.25
5. Step 5: Solve for x
   x = 138,090,647,630.25/257,991
6. Step 6: Final answer
   x = 535,253.74