Finding the Third Proportional to 123,450 and 265,854

Step by Step Solution

1. Step 1: Write the proportion equation
   123,450 : 265,854 = 265,854 : x
2. Step 2: Convert to fraction form
   123,450/265,854 = 265,854/x
3. Step 3: Cross multiply
   123,450x = 265,854 × 265,854
4. Step 4: Simplify right side
   123,450x = 70,678,349,316
5. Step 5: Solve for x
   x = 70,678,349,316/123,450
6. Step 6: Final answer
   x = 572,526.12