Finding the Third Proportional to 265,728 and 403,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,728 : 403,513.50 = 403,513.50 : x
2. Step 2: Convert to fraction form
   265,728/403,513.50 = 403,513.50/x
3. Step 3: Cross multiply
   265,728x = 403,513.50 × 403,513.50
4. Step 4: Simplify right side
   265,728x = 162,823,144,682.25
5. Step 5: Solve for x
   x = 162,823,144,682.25/265,728
6. Step 6: Final answer
   x = 612,743.65