Finding the Third Proportional to 276,711 and 415,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,711 : 415,066.50 = 415,066.50 : x
2. Step 2: Convert to fraction form
   276,711/415,066.50 = 415,066.50/x
3. Step 3: Cross multiply
   276,711x = 415,066.50 × 415,066.50
4. Step 4: Simplify right side
   276,711x = 172,280,199,422.25
5. Step 5: Solve for x
   x = 172,280,199,422.25/276,711
6. Step 6: Final answer
   x = 622,599.75