Finding the Third Proportional to 123,606 and 264,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,606 : 264,709.50 = 264,709.50 : x
2. Step 2: Convert to fraction form
   123,606/264,709.50 = 264,709.50/x
3. Step 3: Cross multiply
   123,606x = 264,709.50 × 264,709.50
4. Step 4: Simplify right side
   123,606x = 70,071,119,390.25
5. Step 5: Solve for x
   x = 70,071,119,390.25/123,606
6. Step 6: Final answer
   x = 566,890.92