Finding the Third Proportional to 276,624 and 427,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,624 : 427,216.50 = 427,216.50 : x
2. Step 2: Convert to fraction form
   276,624/427,216.50 = 427,216.50/x
3. Step 3: Cross multiply
   276,624x = 427,216.50 × 427,216.50
4. Step 4: Simplify right side
   276,624x = 182,513,937,872.25
5. Step 5: Solve for x
   x = 182,513,937,872.25/276,624
6. Step 6: Final answer
   x = 659,790.68