Finding the Third Proportional to 123,312 and 264,096

Step by Step Solution

1. Step 1: Write the proportion equation
   123,312 : 264,096 = 264,096 : x
2. Step 2: Convert to fraction form
   123,312/264,096 = 264,096/x
3. Step 3: Cross multiply
   123,312x = 264,096 × 264,096
4. Step 4: Simplify right side
   123,312x = 69,746,697,216
5. Step 5: Solve for x
   x = 69,746,697,216/123,312
6. Step 6: Final answer
   x = 565,611.60