Finding the Third Proportional to 276,594 and 417,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,594 : 417,433.50 = 417,433.50 : x
2. Step 2: Convert to fraction form
   276,594/417,433.50 = 417,433.50/x
3. Step 3: Cross multiply
   276,594x = 417,433.50 × 417,433.50
4. Step 4: Simplify right side
   276,594x = 174,250,726,922.25
5. Step 5: Solve for x
   x = 174,250,726,922.25/276,594
6. Step 6: Final answer
   x = 629,987.37