Finding the Third Proportional to 269,460 and 374,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,460 : 374,659.50 = 374,659.50 : x
2. Step 2: Convert to fraction form
   269,460/374,659.50 = 374,659.50/x
3. Step 3: Cross multiply
   269,460x = 374,659.50 × 374,659.50
4. Step 4: Simplify right side
   269,460x = 140,369,740,940.25
5. Step 5: Solve for x
   x = 140,369,740,940.25/269,460
6. Step 6: Final answer
   x = 520,929.79