Finding the Third Proportional to 123,624 and 264,750

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 264,750 = 264,750 : x
2. Step 2: Convert to fraction form
   123,624/264,750 = 264,750/x
3. Step 3: Cross multiply
   123,624x = 264,750 × 264,750
4. Step 4: Simplify right side
   123,624x = 70,092,562,500
5. Step 5: Solve for x
   x = 70,092,562,500/123,624
6. Step 6: Final answer
   x = 566,981.84