Finding the Third Proportional to 262,591.50 and 374,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,591.50 : 374,956.50 = 374,956.50 : x
2. Step 2: Convert to fraction form
   262,591.50/374,956.50 = 374,956.50/x
3. Step 3: Cross multiply
   262,591.50x = 374,956.50 × 374,956.50
4. Step 4: Simplify right side
   262,591.50x = 140,592,376,892.25
5. Step 5: Solve for x
   x = 140,592,376,892.25/262,591.50
6. Step 6: Final answer
   x = 535,403.38