Finding the Third Proportional to 256,986 and 376,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,986 : 376,705.50 = 376,705.50 : x
2. Step 2: Convert to fraction form
   256,986/376,705.50 = 376,705.50/x
3. Step 3: Cross multiply
   256,986x = 376,705.50 × 376,705.50
4. Step 4: Simplify right side
   256,986x = 141,907,033,730.25
5. Step 5: Solve for x
   x = 141,907,033,730.25/256,986
6. Step 6: Final answer
   x = 552,197.53