Finding the Third Proportional to 123,604 and 264,705

Step by Step Solution

1. Step 1: Write the proportion equation
   123,604 : 264,705 = 264,705 : x
2. Step 2: Convert to fraction form
   123,604/264,705 = 264,705/x
3. Step 3: Cross multiply
   123,604x = 264,705 × 264,705
4. Step 4: Simplify right side
   123,604x = 70,068,737,025
5. Step 5: Solve for x
   x = 70,068,737,025/123,604
6. Step 6: Final answer
   x = 566,880.82