Finding the Third Proportional to 255,927 and 401,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   255,927 : 401,437.50 = 401,437.50 : x
2. Step 2: Convert to fraction form
   255,927/401,437.50 = 401,437.50/x
3. Step 3: Cross multiply
   255,927x = 401,437.50 × 401,437.50
4. Step 4: Simplify right side
   255,927x = 161,152,066,406.25
5. Step 5: Solve for x
   x = 161,152,066,406.25/255,927
6. Step 6: Final answer
   x = 629,679.82