Finding the Third Proportional to 118,651.50 and 257,823

Step by Step Solution

1. Step 1: Write the proportion equation
   118,651.50 : 257,823 = 257,823 : x
2. Step 2: Convert to fraction form
   118,651.50/257,823 = 257,823/x
3. Step 3: Cross multiply
   118,651.50x = 257,823 × 257,823
4. Step 4: Simplify right side
   118,651.50x = 66,472,699,329
5. Step 5: Solve for x
   x = 66,472,699,329/118,651.50
6. Step 6: Final answer
   x = 560,234.80