Finding the Third Proportional to 183,858.75 and 257,796

Step by Step Solution

1. Step 1: Write the proportion equation
   183,858.75 : 257,796 = 257,796 : x
2. Step 2: Convert to fraction form
   183,858.75/257,796 = 257,796/x
3. Step 3: Cross multiply
   183,858.75x = 257,796 × 257,796
4. Step 4: Simplify right side
   183,858.75x = 66,458,777,616
5. Step 5: Solve for x
   x = 66,458,777,616/183,858.75
6. Step 6: Final answer
   x = 361,466.49