Finding the Third Proportional to 276,715.50 and 415,074

Step by Step Solution

1. Step 1: Write the proportion equation
   276,715.50 : 415,074 = 415,074 : x
2. Step 2: Convert to fraction form
   276,715.50/415,074 = 415,074/x
3. Step 3: Cross multiply
   276,715.50x = 415,074 × 415,074
4. Step 4: Simplify right side
   276,715.50x = 172,286,425,476
5. Step 5: Solve for x
   x = 172,286,425,476/276,715.50
6. Step 6: Final answer
   x = 622,612.13