Finding the Third Proportional to 276,588 and 427,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,588 : 427,165.50 = 427,165.50 : x
2. Step 2: Convert to fraction form
   276,588/427,165.50 = 427,165.50/x
3. Step 3: Cross multiply
   276,588x = 427,165.50 × 427,165.50
4. Step 4: Simplify right side
   276,588x = 182,470,364,390.25
5. Step 5: Solve for x
   x = 182,470,364,390.25/276,588
6. Step 6: Final answer
   x = 659,719.02