Finding the Third Proportional to 123,113 and 264,615

Step by Step Solution

1. Step 1: Write the proportion equation
   123,113 : 264,615 = 264,615 : x
2. Step 2: Convert to fraction form
   123,113/264,615 = 264,615/x
3. Step 3: Cross multiply
   123,113x = 264,615 × 264,615
4. Step 4: Simplify right side
   123,113x = 70,021,098,225
5. Step 5: Solve for x
   x = 70,021,098,225/123,113
6. Step 6: Final answer
   x = 568,754.71