Finding the Third Proportional to 177,309 and 272,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,309 : 272,524.50 = 272,524.50 : x
2. Step 2: Convert to fraction form
   177,309/272,524.50 = 272,524.50/x
3. Step 3: Cross multiply
   177,309x = 272,524.50 × 272,524.50
4. Step 4: Simplify right side
   177,309x = 74,269,603,100.25
5. Step 5: Solve for x
   x = 74,269,603,100.25/177,309
6. Step 6: Final answer
   x = 418,871.03