Finding the Third Proportional to 265,734 and 403,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,734 : 403,519.50 = 403,519.50 : x
2. Step 2: Convert to fraction form
   265,734/403,519.50 = 403,519.50/x
3. Step 3: Cross multiply
   265,734x = 403,519.50 × 403,519.50
4. Step 4: Simplify right side
   265,734x = 162,827,986,880.25
5. Step 5: Solve for x
   x = 162,827,986,880.25/265,734
6. Step 6: Final answer
   x = 612,748.04