Finding the Third Proportional to 261,375 and 384,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,375 : 384,403.50 = 384,403.50 : x
2. Step 2: Convert to fraction form
   261,375/384,403.50 = 384,403.50/x
3. Step 3: Cross multiply
   261,375x = 384,403.50 × 384,403.50
4. Step 4: Simplify right side
   261,375x = 147,766,050,812.25
5. Step 5: Solve for x
   x = 147,766,050,812.25/261,375
6. Step 6: Final answer
   x = 565,341.18