Finding the Third Proportional to 276,912 and 414,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,912 : 414,907.50 = 414,907.50 : x
2. Step 2: Convert to fraction form
   276,912/414,907.50 = 414,907.50/x
3. Step 3: Cross multiply
   276,912x = 414,907.50 × 414,907.50
4. Step 4: Simplify right side
   276,912x = 172,148,233,556.25
5. Step 5: Solve for x
   x = 172,148,233,556.25/276,912
6. Step 6: Final answer
   x = 621,671.27