Finding the Third Proportional to 267,624 and 364,520.25

Step by Step Solution

1. Step 1: Write the proportion equation
   267,624 : 364,520.25 = 364,520.25 : x
2. Step 2: Convert to fraction form
   267,624/364,520.25 = 364,520.25/x
3. Step 3: Cross multiply
   267,624x = 364,520.25 × 364,520.25
4. Step 4: Simplify right side
   267,624x = 132,875,012,660.06
5. Step 5: Solve for x
   x = 132,875,012,660.06/267,624
6. Step 6: Final answer
   x = 496,498.87