Finding the Third Proportional to 276,639 and 417,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,639 : 417,499.50 = 417,499.50 : x
2. Step 2: Convert to fraction form
   276,639/417,499.50 = 417,499.50/x
3. Step 3: Cross multiply
   276,639x = 417,499.50 × 417,499.50
4. Step 4: Simplify right side
   276,639x = 174,305,832,500.25
5. Step 5: Solve for x
   x = 174,305,832,500.25/276,639
6. Step 6: Final answer
   x = 630,084.09